QuestionSolve the equation $6+5(m+1)=26$ for $m$ . What is the value of $m$ ?

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $6+5(m+1)=26$ . We are solving for the variable $m$

STEP 2

First, we need to distribute the $5$ to both $m$ and $1$ inside the parentheses.
$6+5(m+1)=6+5m+5$

STEP 3

implify the equation by combining like terms on the left side of the equation.
$6+5+5m=11+5m=26$

STEP 4

Now, we need to isolate the variable $m$ on one side of the equation. We can do this by subtracting $11$ from both sides of the equation.
$11+m-11=26-11$

STEP 5

implify the equation.
$5m=15$

STEP 6

Finally, we can solve for $m$ by dividing both sides of the equation by $5$ .
$m=15/5$

STEP 7

Calculate the value of $m$ .
$m=15/5=3$ The solution is $m=3$ .

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QuestionSolve the equation $6+5(m+1)=26$ for $m$ . What is the value of $m$ ?

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $6+5(m+1)=26$ . We are solving for the variable $m$

STEP 2

First, we need to distribute the $5$ to both $m$ and $1$ inside the parentheses.
$6+5(m+1)=6+5m+5$

STEP 3

implify the equation by combining like terms on the left side of the equation.
$6+5+5m=11+5m=26$

STEP 4

Now, we need to isolate the variable $m$ on one side of the equation. We can do this by subtracting $11$ from both sides of the equation.
$11+m-11=26-11$

STEP 5

implify the equation.
$5m=15$

STEP 6

Finally, we can solve for $m$ by dividing both sides of the equation by $5$ .
$m=15/5$

STEP 7

Calculate the value of $m$ .
$m=15/5=3$ The solution is $m=3$ .

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QuestionSolve the equation 6+5(m+1)=266+5(m+1)=266+5(m+1)=26 for mmm. What is the value of mmm?

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 6+5(m+1)=266+5(m+1)=266+5(m+1)=26 . We are solving for the variable mmm

STEP 2

First, we need to distribute the 555 to both mmm and 111 inside the parentheses.6+5(m+1)=6+5m+56+5(m+1)=6+5m+56+5(m+1)=6+5m+5

STEP 3

implify the equation by combining like terms on the left side of the equation.6+5+5m=11+5m=266+5+5m=11+5m=266+5+5m=11+5m=26

STEP 4

Now, we need to isolate the variable mmm on one side of the equation. We can do this by subtracting 111111 from both sides of the equation.11+m−11=26−1111+m-11=26-1111+m−11=26−11

STEP 5

implify the equation.5m=155m=155m=15

STEP 6

Finally, we can solve for mmm by dividing both sides of the equation by 555.m=15/5m=15/5m=15/5

STEP 7

Calculate the value of mmm.m=15/5=3m=15/5=3m=15/5=3The solution is m=3m=3m=3.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation $6+5(m+1)=26$ for $m$ . What is the value of $m$ ?

Assumptions1. The equation to solve is $6+5(m+1)=26$ . We are solving for the variable $m$

First, we need to distribute the $5$ to both $m$ and $1$ inside the parentheses.
$6+5(m+1)=6+5m+5$

implify the equation by combining like terms on the left side of the equation.
$6+5+5m=11+5m=26$

Now, we need to isolate the variable $m$ on one side of the equation. We can do this by subtracting $11$ from both sides of the equation.
$11+m-11=26-11$

implify the equation.
$5m=15$

Finally, we can solve for $m$ by dividing both sides of the equation by $5$ .
$m=15/5$

Calculate the value of $m$ .
$m=15/5=3$ The solution is $m=3$ .