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Solve for $b$ . $\newline$ $-2(b + 5) + 8 = 8$ $\newline$ $b =$ $\_\_\_\_\_$

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Solve equations with the distributive property

Full solution

Q. Solve for

b

.

\newline

-2(b + 5) + 8 = 8

\newline

b =

\_\_\_\_\_

Distribute $-2$ : Simplify the equation by distributing $-2$ into $(b + 5)$ .
$-2(b + 5) + 8 = 8$
$-2b - 10 + 8 = 8$
Combine like terms: Combine like terms on the left side. $\newline$ $-2b - 2 = 8$
Add $2$ to isolate: Add $2$ to both sides to isolate the term with $b$ . $-2b - 2 + 2 = 8 + 2$ $-2b = 10$
Divide by $-2$ : Divide both sides by $-2$ to solve for $b$ . $\frac{-2b}{-2} = \frac{10}{-2}$ $b = -5$

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