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Solve for $r$ . $\newline$ $2(r + 1) = 10$ $\newline$ $r =$ _____

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Solve equations with the distributive property

Full solution

Q. Solve for

r

.

\newline

2(r + 1) = 10

\newline

r =

_____

Distribute $2$ : Distribute the $2$ across the parentheses. $\newline$ Multiply each term inside the parentheses by $2$ . $\newline$ $2(r + 1) = 2r + 2(1)$ $\newline$ $2r + 2 = 10$
Multiply terms: Isolate the variable term. $\newline$ Subtract $2$ from both sides to get the term with $r$ by itself. $\newline$ $2r + 2 - 2 = 10 - 2$ $\newline$ $2r = 8$
Isolate variable term: Solve for $r$ . $\newline$ Divide both sides by $2$ to find the value of $r$ . $\newline$ $\frac{2r}{2} = \frac{8}{2}$ $\newline$ $r = 4$

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