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Solve for $t$ . $\newline$ $2(t - 12) = 6$ $\newline$ $t =$ $\_\_\_\_\_$

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Solve two-step equations with parentheses

Full solution

Q. Solve for

t

.

\newline

2(t - 12) = 6

\newline

t =

\_\_\_\_\_

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. $\newline$ $2(t − 12) = 2\cdot t − 2\cdot 12$ $\newline$ $2t − 24 = 6$
Add $24$ : Add $24$ to both sides of the equation to isolate the term with the variable $t$ . We want to get $t$ by itself on one side of the equation, so we need to undo the subtraction of $24$ . $2t - 24 + 24 = 6 + 24$ $2t = 30$
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $t$ . Now we divide both sides by $2$ to find the value of $t$ . $\frac{2t}{2} = \frac{30}{2}$ $t = 15$

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