Gather Like Terms: First, we want to gather all the t terms on one side of the equation and the constant terms on the other side. We can do this by adding 2t to both sides of the equation to move the -2t from the left to the right side. 16 - 2t + 2t = 5t + 9 + 2t This simplifies to: 16 = 7t + 9Isolate Variable Term: Next, we want to isolate the term with t, so we subtract 9 from both sides of the equation to move the constant term from the right to the left side. 16 - 9 = 7t + 9 - 9 This simplifies to: 7 = 7tSolve for t: Finally, we solve for t by dividing both sides of the equation by 7. 7 / 7 = 7t / 7 This simplifies to: 1 = t

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$16 - 2t = 5t + 9$

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Algebra 1

Solve linear equations with variables on both sides

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16 - 2t = 5t + 9

Gather Like Terms: First, we want to gather all the $t$ terms on one side of the equation and the constant terms on the other side. We can do this by adding $2t$ to both sides of the equation to move the $-2t$ from the left to the right side. $\newline$ $16 - 2t + 2t = 5t + 9 + 2t$ $\newline$ This simplifies to: $\newline$ $16 = 7t + 9$
Isolate Variable Term: Next, we want to isolate the term with $t$ , so we subtract $9$ from both sides of the equation to move the constant term from the right to the left side. $16 - 9 = 7t + 9 - 9$ This simplifies to: $7 = 7t$
Solve for t: Finally, we solve for t by dividing both sides of the equation by $7$ . $\newline$ $\frac{7}{7} = \frac{7t}{7}$ $\newline$ This simplifies to: $\newline$ $1 = t$