Solve for t. 2(t − 12) = 6 t = _____

Distribute 2: Distribute the 2 across the parentheses. We need to apply the distributive property to remove the parentheses. This means we multiply 2 by each term inside the parentheses. 2(t − 12) = 2*t − 2*12 2t − 24 = 6Add 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 = 30Divide 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. 2t / 2 = 30 / 2 t = 15

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Math Problems

Grade 7

Solve two-step equations with parentheses

Full solution

Q. Solve for

t

\newline

2(t - 12) = 6

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 $t$ . $\frac{2t}{2} = \frac{30}{2}$ $t = 15$