15. \( 9-4(2 p-1)=45 \)

To solve the equation \( 9-4(2 p-1)=45 \), first, you would distribute the \(-4\) across the terms inside the parentheses: \[ 9 - 8p + 4 = 45 \] Then, simplify the left side: \[ 13 - 8p = 45 \] Next, isolate the \(8p\) term by subtracting 13 from both sides: \[ -8p = 32 \] Now, divide both sides by \(-8\): \[ p = -4 \] Thus, the solution is \( p = -4 \). Feel free to try substituting \( p \) back into the original equation to verify that both sides are indeed equal!