Solve \( \frac{9 h+14}{2}=8 h \) \( h=\ldots \)

To solve the equation \( \frac{9h + 14}{2} = 8h \), start by eliminating the fraction by multiplying both sides by 2: \[ 9h + 14 = 16h \] Now, rearrange the equation by subtracting \( 9h \) from both sides: \[ 14 = 16h - 9h \] This simplifies to: \[ 14 = 7h \] Next, divide both sides by 7 to isolate \( h \): \[ h = \frac{14}{7} \] This results in: \[ h = 2 \] So, the solution is \( h = 2 \).