We want to solve the following equation.
2/3(6a+9) = 20.4
First, let's use the Distributive Property to simplify the left-hand side of the equation.
(2/3 * 6a )+ (2/3 * 9 ) &= 20.4Next, let's simplify the terms on the left-hand side. We will start with 23 * 6a.
After simplifying the terms, our equation has the following form.
(4a )+ (6 ) &= 20.4
Next, let's use inverse operations in order to isolate the variable. First, let's use the Subtraction Property of Equality and subtract 6 from both sides of the equation. That way, we will isolate 4a on the left-hand side of the equation.
4a&= 20.4- 6
&⇓
4a&= 14.4
Next, let's use the Division Property of Equality and divide both sides of the equation by 4. That way, we will isolate a on the left-hand side of the equation.
a &= 14.4/4
& ⇓
a &=3.6
