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Solve for $f$ . $\newline$ $2(f - 12) = 10$ $\newline$ $f =$ _____

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Solve two-step equations with parentheses

Full solution

Q. Solve for

f

.

\newline

2(f - 12) = 10

\newline

f =

_____

Distribute $2$ : Distribute the $2$ across the parentheses. $\newline$ We need to apply the distributive property to remove the parentheses. This means we multiply $2$ by each term inside the parentheses. $\newline$ $2(f − 12)$ becomes $2f − 2 \times 12$ , which simplifies to $2f − 24$ .
Set up equation: Set up the simplified equation. $\newline$ After distributing, our equation is now $2f - 24 = 10$ .
Add $24$ : Add $24$ to both sides of the equation to isolate the term with the variable $f$ . We want to get $f$ by itself on one side of the equation, so we need to undo the subtraction of $24$ . To do this, we add $24$ to both sides of the equation. $2f - 24 + 24 = 10 + 24$ simplifies to $2f = 34$ .
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $f$ . To isolate $f$ , we divide both sides of the equation by $2$ . $\frac{2f}{2} = \frac{34}{2}$ simplifies to $f = 17$ .

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