Determine whether -11 is a solution of the equation \( 6(x-1)=-70 \)

To check if -11 is a solution of the equation \( 6(x-1)=-70 \), we can substitute -11 for \( x \) in the equation. First, we calculate \( x - 1 \) when \( x = -11 \): \[ -11 - 1 = -12 \] Now substitute into the equation: \[ 6(-12) = -72 \] Since -72 does not equal -70, -11 is not a solution of the equation \( 6(x-1)=-70 \). Let’s solve the equation step by step to find the actual solution! Start by distributing on the left side: 1. \( 6x - 6 = -70 \) 2. Add 6 to both sides: \( 6x = -64 \) 3. Divide by 6: \( x = -\frac{64}{6} = -\frac{32}{3} \) Now you know the precise solution!