a) \( \frac{7 g-8}{3}=\frac{3+6 g}{6} \)

First, let's simplify the equation step-by-step. We start with \( \frac{7g - 8}{3} = \frac{3 + 6g}{6} \). To eliminate the fractions, we can multiply both sides by 6: \[ 6 \cdot \frac{7g - 8}{3} = 6 \cdot \frac{3 + 6g}{6} \] This simplifies to: \[ 2(7g - 8) = 3 + 6g \] Now, distribute the 2 on the left side: \[ 14g - 16 = 3 + 6g \] Next, we want to isolate \( g \). Subtract \( 6g \) from both sides: \[ 14g - 6g - 16 = 3 \] Which simplifies to: \[ 8g - 16 = 3 \] Now, add 16 to both sides: \[ 8g = 19 \] Finally, divide both sides by 8 to solve for \( g \): \[ g = \frac{19}{8} \] And there you have it, \( g \) is \( \frac{19}{8} \) or 2.375!