Question

solve for a. -56 = 5a - 11

Explanation:

Step1: Add 11 to both sides

To isolate the term with \(a\), we add 11 to both sides of the equation \(-56 = 5a - 11\). This gives us \(-56 + 11 = 5a - 11 + 11\). Simplifying the left side: \(-56 + 11 = -45\), and the right side simplifies to \(5a\) (since \(-11 + 11 = 0\)). So now we have \(-45 = 5a\).

Step2: Divide both sides by 5

To solve for \(a\), we divide both sides of the equation \(-45 = 5a\) by 5. Using the division property of equality, we get \(\frac{-45}{5} = \frac{5a}{5}\). Simplifying both sides: \(\frac{-45}{5} = -9\) and \(\frac{5a}{5} = a\). So \(a = -9\).

Answer:

\(a = -9\)