We want to solve the following equation.
1/8(p+24) = 9
First, let's use the Distributive Property to simplify the left-hand side of the equation.
(1/8 * p )+ (1/8 * 24 ) &= 9
⇓ &
(p/8 )+ (3 ) &= 9
Next, let's use inverse operations in order to isolate the variable. First, let's use the Subtraction Property of Equality and subtract 3 from both sides of the equation. That way, we will isolate p8 on the left-hand side of the equation.
p/8&= 9- 3
&⇓
p/8&= 6
Next, let's use the Multiplication Property of Equality and multiply both sides of the equation by 8. That way, we will isolate p on the left-hand side of the equation.
p &= 6* 8
&⇓
p &=48
