Math / Algebra

Question $4(z-2)=20$

Studdy Solution

STEP 1

1. The variable $z$ represents a real number.
2. The equation $4(z-2)=20$ is a linear equation and can be solved using basic algebraic techniques.
3. The goal is to isolate $z$ on one side of the equation.

STEP 2

1. Distribute the constant $4$ on the left-hand side.
2. Simplify the resulting equation.
3. Isolate the variable $z$ by performing inverse operations.

STEP 3

Distribute the constant $4$ on the left-hand side of the equation.
$4(z - 2) = 20$
Distributing $4$ inside the parenthesis:
$4z - 8 = 20$

STEP 4

Add $8$ to both sides of the equation to isolate the term with $z$ .
$4z - 8 + 8 = 20 + 8$
Simplifying this:
$4z = 28$

STEP 5

Divide both sides of the equation by $4$ to solve for $z$ .
$\frac{4z}{4} = \frac{28}{4}$
Simplifying this:
$z = 7$
Solution: The value of $z$ is $7$ .

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Question $4(z-2)=20$

Studdy Solution

STEP 1

1. The variable $z$ represents a real number.
2. The equation $4(z-2)=20$ is a linear equation and can be solved using basic algebraic techniques.
3. The goal is to isolate $z$ on one side of the equation.

STEP 2

1. Distribute the constant $4$ on the left-hand side.
2. Simplify the resulting equation.
3. Isolate the variable $z$ by performing inverse operations.

STEP 3

Distribute the constant $4$ on the left-hand side of the equation.
$4(z - 2) = 20$
Distributing $4$ inside the parenthesis:
$4z - 8 = 20$

STEP 4

Add $8$ to both sides of the equation to isolate the term with $z$ .
$4z - 8 + 8 = 20 + 8$
Simplifying this:
$4z = 28$

STEP 5

Divide both sides of the equation by $4$ to solve for $z$ .
$\frac{4z}{4} = \frac{28}{4}$
Simplifying this:
$z = 7$
Solution: The value of $z$ is $7$ .

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Question4(z−2)=204(z-2)=204(z−2)=20

Studdy Solution

STEP 1

1. The variable zzz represents a real number.2. The equation 4(z−2)=204(z-2)=204(z−2)=20 is a linear equation and can be solved using basic algebraic techniques.3. The goal is to isolate zzz on one side of the equation.

STEP 2

1. Distribute the constant 444 on the left-hand side.2. Simplify the resulting equation.3. Isolate the variable zzz by performing inverse operations.

STEP 3

Distribute the constant 444 on the left-hand side of the equation.4(z−2)=20 4(z - 2) = 20 4(z−2)=20Distributing 444 inside the parenthesis:4z−8=20 4z - 8 = 20 4z−8=20

STEP 4

Add 888 to both sides of the equation to isolate the term with zzz.4z−8+8=20+8 4z - 8 + 8 = 20 + 8 4z−8+8=20+8Simplifying this:4z=28 4z = 28 4z=28

STEP 5

Divide both sides of the equation by 444 to solve for zzz.4z4=284 \frac{4z}{4} = \frac{28}{4} 44z​=428​Simplifying this:z=7 z = 7 z=7Solution: The value of zzz is 777.

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Question $4(z-2)=20$

1. The variable $z$ represents a real number.
2. The equation $4(z-2)=20$ is a linear equation and can be solved using basic algebraic techniques.
3. The goal is to isolate $z$ on one side of the equation.

1. Distribute the constant $4$ on the left-hand side.
2. Simplify the resulting equation.
3. Isolate the variable $z$ by performing inverse operations.

Distribute the constant $4$ on the left-hand side of the equation.
$4(z - 2) = 20$
Distributing $4$ inside the parenthesis:
$4z - 8 = 20$

Add $8$ to both sides of the equation to isolate the term with $z$ .
$4z - 8 + 8 = 20 + 8$
Simplifying this:
$4z = 28$

Divide both sides of the equation by $4$ to solve for $z$ .
$\frac{4z}{4} = \frac{28}{4}$
Simplifying this:
$z = 7$
Solution: The value of $z$ is $7$ .