Solve for \( t \) \( -10-8 t=-5 t+10+7 \) \( t=\square \)

Let's solve the equation step by step to find the value of \( t \): \[ -10 - 8t = -5t + 10 + 7 \] ### Step 1: Simplify Both Sides Combine like terms on the right side of the equation: \[ -10 - 8t = -5t + 17 \] ### Step 2: Gather Like Terms To isolate the variable \( t \), let's move all terms containing \( t \) to one side and the constant terms to the other side. We'll add \( 8t \) to both sides: \[ -10 = 3t + 17 \] ### Step 3: Isolate the Variable Subtract \( 17 \) from both sides to move the constant term: \[ -27 = 3t \] ### Step 4: Solve for \( t \) Divide both sides by \( 3 \) to solve for \( t \): \[ t = \frac{-27}{3} \] \[ t = -9 \] **Answer:** \[ t = -9 \]