Question

solve for t.
-10 - 8t = -5t + 10 + 7
t =

Explanation:

Step1: Simplify the right side

First, combine the constant terms on the right side. \(10 + 7 = 17\), so the equation becomes \(-10 - 8t = -5t + 17\).

Step2: Add \(8t\) to both sides

Adding \(8t\) to both sides to get the \(t\) terms on one side: \(-10 - 8t + 8t = -5t + 8t + 17\), which simplifies to \(-10 = 3t + 17\).

Step3: Subtract 17 from both sides

Subtract 17 from both sides: \(-10 - 17 = 3t + 17 - 17\), so \(-27 = 3t\).

Step4: Divide by 3

Divide both sides by 3: \(\frac{-27}{3}=t\), so \(t = -9\).

Answer:

\(-9\)