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Solve for $w$ . $\newline$ $2(w + 2) − 2 = 8$ $\newline$ $w =$ _____

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Solve equations with the distributive property

Full solution

Q. Solve for

w

.

\newline

2(w + 2) − 2 = 8

\newline

w =

_____

Simplify equation: Simplify the equation by distributing the $2$ into the parentheses. $2(w + 2) - 2 = 8$ $2w + 4 - 2 = 8$ $2w + 2 = 8$
Isolate variable: Isolate the variable $w$ by subtracting $2$ from both sides. $\newline$ $2w + 2 - 2 = 8 - 2$ $\newline$ $2w = 6$
Divide to solve: Divide both sides by $2$ to solve for $w$ . $\newline$ $\frac{2w}{2} = \frac{6}{2}$ $\newline$ $w = 3$

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