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Solve for $r$ . $\newline$ $2(r + 7) = -2$ $\newline$ $r =$ _____

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Solve equations with the distributive property

Full solution

Q. Solve for

r

.

\newline

2(r + 7) = -2

\newline

r =

_____

Distribute and Multiply: Distribute the $2$ across the parentheses. $\newline$ Multiply each term inside the parentheses by $2$ . $\newline$ $2(r + 7) = 2r + 2\times7$ $\newline$ $2r + 14 = -2$
Subtract to Isolate: Subtract $14$ from both sides to isolate the term with the variable $r$ . $\newline$ $2r + 14 - 14 = -2 - 14$ $\newline$ $2r = -16$
Divide to Solve: Divide both sides by $2$ to solve for $r$ . $\frac{2r}{2} = \frac{-16}{2}$ $r = -8$

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