Answer: a = 3.6
Step-by-step explanation:
[tex]\dfrac{2}{3}(6a+9)=20.4\\\\\\\text{Distribute the }\dfrac{2}{3}\ \text{by multiplying it by each term in the parenthesis:}\\\dfrac{2}{3}(6a)+\dfrac{2}{3}(9)=20.4\\\\\\\text{Cancel out common terms then Multiply:}\\2(2a)+2(3)=20.4\\4a+6=20.4\\\\\text{Subtract 6 from both sides:}\\4a=14.4\\\\\text{Divide both sides by 4:}\\a=3.6[/tex]
