To solve the equation \( 16(p-30) = 560 \), you'll need to isolate the variable \( p \). Let's go through the steps:
First, distribute the 16 into the parentheses: \[ 16 \cdot p - 16 \cdot 30 = 560 \] \[ 16p - 480 = 560 \]
Next, add 480 to both sides of the equation to get all the variable terms on one side and the constant terms on the other side: \[ 16p - 480 + 480 = 560 + 480 \] \[ 16p = 1040 \]
Now, divide both sides of the equation by 16 to solve for \( p \): \[ \frac{16p}{16} = \frac{1040}{16} \] \[ p = 65 \]
Thus, the solution to the equation is \( p = 65 \).
