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Solve for $c$ . $\newline$ $2(c + -10) = -2$ $\newline$ $c =$ _____

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Solve equations with the distributive property

Full solution

Q. Solve for

c

.

\newline

2(c + -10) = -2

\newline

c =

_____

Distribute and Multiply: Distribute the $2$ across the parentheses. $\newline$ Multiply $2$ by each term inside the parentheses. $\newline$ $2(c + -10) = 2c + 2(-10) = 2c - 20$
Set Equation Equal: Set the equation equal to $–2$ . $\newline$ $2c – 20 = –2$
Add to Isolate: Add $20$ to both sides to isolate the term with the variable $c$ . $\newline$ $2c - 20 + 20 = -2 + 20$ $\newline$ $2c = 18$
Divide to Solve: Divide both sides by $2$ to solve for $c$ . $\frac{2c}{2} = \frac{18}{2}$ $c = 9$

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