Solve for t. -10 + 2t = -20 - 16t + 17t t = ____

Combine like terms: Combine like terms on the right side of the equation. -10 + 2t = -20 - 16t + 17t -10 + 2t = -20 + (17t - 16t) -10 + 2t = -20 + tMove variable term: Move the variable term on the right side to the left side by adding 16t to both sides. -10 + 2t + 16t = -20 + t + 16t -10 + 18t = -20 + 17tSubtract to isolate: Subtract 17t from both sides to isolate the variable term. -10 + 18t - 17t = -20 + 17t - 17t -10 + t = -20Add to solve: Add 10 to both sides to solve for t. -10 + t + 10 = -20 + 10 t = -10

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Solve for $t$ . $\newline$ $-10 + 2t = -20 - 16t + 17t$ $\newline$ $t =$ ____

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

t

\newline

-10 + 2t = -20 - 16t + 17t

\newline

t =

____

Combine like terms: Combine like terms on the right side of the equation. $\newline$ $-10 + 2t = -20 - 16t + 17t$ $\newline$ $-10 + 2t = -20 + (17t - 16t)$ $\newline$ $-10 + 2t = -20 + t$
Move variable term: Move the variable term on the right side to the left side by adding $16t$ to both sides. $\newline$ $-10 + 2t + 16t = -20 + t + 16t$ $\newline$ $-10 + 18t = -20 + 17t$
Subtract to isolate: Subtract $17t$ from both sides to isolate the variable term. $\newline$ $-10 + 18t - 17t = -20 + 17t - 17t$ $\newline$ $-10 + t = -20$
Add to solve: Add $10$ to both sides to solve for $t$ . $\newline$ $-10 + t + 10 = -20 + 10$ $\newline$ $t = -10$