Question

1. -8 + 4a = 22

Explanation:

Step1: Add 8 to both sides

To isolate the term with \(a\), we add 8 to both sides of the equation \(-8 + 4a = 22\). This gives us \(-8 + 8 + 4a = 22 + 8\). Simplifying the left side (since \(-8 + 8 = 0\)) and the right side (\(22 + 8 = 30\)), we get \(4a = 30\).

Step2: Divide by 4

Now, to solve for \(a\), we divide both sides of the equation \(4a = 30\) by 4. So, \(a=\frac{30}{4}\), which simplifies to \(a = \frac{15}{2}\) or \(a = 7.5\).

Answer:

\(a=\frac{15}{2}\) (or \(a = 7.5\))