Math / Algebra

QuestionSolve for $q$ . $8 q-8=72$ $q=$

Studdy Solution

STEP 1

What is this asking? We're trying to find the value of $q$ that makes the equation $8q - 8 = 72$ true! Watch out! Don't forget to follow the order of operations carefully!

STEP 2

1. Isolate the term with $q$ .
2. Solve for $q$ .

STEP 3

We want to get $q$ by itself, so let's start by getting rid of that $-8$ on the left side.
The opposite of subtracting 8 is adding 8!
If we add 8 to both sides of the equation, we keep everything balanced. $8q - 8 + 8 = 72 + 8$

STEP 4

On the left side, $-8 + 8$ adds to zero!
On the right side, $72 + 8 = 80$ .
So our equation becomes: $8q = 80$ Now we're much closer to finding $q$ !

STEP 5

We have $8$ multiplied by $q$ , and we want to get $q$ all alone.
The opposite of multiplying by 8 is dividing by 8!
Remember, what we do to one side, we must do to the other. $\frac{8q}{8} = \frac{80}{8}$

STEP 6

On the left side, we have $\frac{8}{8}$ , which equals 1.
So, we have $1 \cdot q$ , which is just $q$ .
On the right side, $\frac{80}{8} = 10$ .
Awesome! We have: $q = 10$

STEP 7

$q = 10$

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QuestionSolve for $q$ . $8 q-8=72$ $q=$

Studdy Solution

STEP 1

What is this asking? We're trying to find the value of $q$ that makes the equation $8q - 8 = 72$ true! Watch out! Don't forget to follow the order of operations carefully!

STEP 2

1. Isolate the term with $q$ .
2. Solve for $q$ .

STEP 3

We want to get $q$ by itself, so let's start by getting rid of that $-8$ on the left side.
The opposite of subtracting 8 is adding 8!
If we add 8 to both sides of the equation, we keep everything balanced. $8q - 8 + 8 = 72 + 8$

STEP 4

On the left side, $-8 + 8$ adds to zero!
On the right side, $72 + 8 = 80$ .
So our equation becomes: $8q = 80$ Now we're much closer to finding $q$ !

STEP 5

We have $8$ multiplied by $q$ , and we want to get $q$ all alone.
The opposite of multiplying by 8 is dividing by 8!
Remember, what we do to one side, we must do to the other. $\frac{8q}{8} = \frac{80}{8}$

STEP 6

On the left side, we have $\frac{8}{8}$ , which equals 1.
So, we have $1 \cdot q$ , which is just $q$ .
On the right side, $\frac{80}{8} = 10$ .
Awesome! We have: $q = 10$

STEP 7

$q = 10$

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QuestionSolve for qqq. 8q−8=728 q-8=728q−8=72 q=q=q=

Studdy Solution

STEP 1

What is this asking? We're trying to find the value of qqq that makes the equation 8q−8=728q - 8 = 728q−8=72 true! Watch out! Don't forget to follow the order of operations *carefully*!

STEP 2

1. Isolate the term with qqq.2. Solve for qqq.

STEP 3

We want to get qqq by itself, so let's start by getting rid of that −8-8−8 on the left side.The opposite of subtracting 8 is *adding* 8!If we add 8 to both sides of the equation, we keep everything balanced. 8q−8+8=72+88q - 8 + 8 = 72 + 88q−8+8=72+8

STEP 4

On the left side, −8+8-8 + 8−8+8 adds to zero!On the right side, 72+8=8072 + 8 = 8072+8=80.So our equation becomes: 8q=808q = 808q=80 Now we're *much* closer to finding qqq!

STEP 5

We have 888 multiplied by qqq, and we want to get qqq all alone.The opposite of multiplying by 8 is dividing by 8!Remember, what we do to one side, we *must* do to the other. 8q8=808 \frac{8q}{8} = \frac{80}{8} 88q​=880​

STEP 6

On the left side, we have 88\frac{8}{8}88​, which equals **1**.So, we have 1⋅q1 \cdot q1⋅q, which is just qqq.On the right side, 808=10\frac{80}{8} = 10880​=10.Awesome! We have: q=10 q = 10 q=10

STEP 7

q=10 q = 10 q=10

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QuestionSolve for $q$ . $8 q-8=72$ $q=$

What is this asking? We're trying to find the value of $q$ that makes the equation $8q - 8 = 72$ true! Watch out! Don't forget to follow the order of operations carefully!

1. Isolate the term with $q$ .
2. Solve for $q$ .

We want to get $q$ by itself, so let's start by getting rid of that $-8$ on the left side.
The opposite of subtracting 8 is adding 8!
If we add 8 to both sides of the equation, we keep everything balanced. $8q - 8 + 8 = 72 + 8$

On the left side, $-8 + 8$ adds to zero!
On the right side, $72 + 8 = 80$ .
So our equation becomes: $8q = 80$ Now we're much closer to finding $q$ !

We have $8$ multiplied by $q$ , and we want to get $q$ all alone.
The opposite of multiplying by 8 is dividing by 8!
Remember, what we do to one side, we must do to the other. $\frac{8q}{8} = \frac{80}{8}$

On the left side, we have $\frac{8}{8}$ , which equals 1.
So, we have $1 \cdot q$ , which is just $q$ .
On the right side, $\frac{80}{8} = 10$ .
Awesome! We have: $q = 10$

$q = 10$