What value of \( a \) is a solution to this equation? \( -2 a+8(a-4)=-74 \) \( a=-7 \) \( a=9 \)

Solve the equation \( -2a+8(a-4)=-74 \). Solve the equation by following steps: - step0: Solve for \(a\): \(-2a+8\left(a-4\right)=-74\) - step1: Move the expression to the left side: \(-2a+8\left(a-4\right)-\left(-74\right)=0\) - step2: Remove the parentheses: \(-2a+8\left(a-4\right)+74=0\) - step3: Calculate: \(6a+42=0\) - step4: Move the constant to the right side: \(6a=0-42\) - step5: Remove 0: \(6a=-42\) - step6: Divide both sides: \(\frac{6a}{6}=\frac{-42}{6}\) - step7: Divide the numbers: \(a=-7\) The solution to the equation \( -2a+8(a-4)=-74 \) is \( a=-7 \).