Question

What is the solution to the equation? 3/4(4c+16)=2c+9

Answer 1

$\frac{3}{4}(4c+16)=2c+9\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\\frac{3}{4}\cdot4c+\frac{3}{4}\cdot16=2c+9\\\\\frac{3}{\not4_1}\cdot\frac{\not4c}{1}+\frac{3}{\not4_1}\cdot\frac{\not16^4}{1}=2c+9\\\\3c+12=2c+9\ \ \ \ |subtract\ 2c\ and\ 12\ from\ both\ sides\\\\\boxed{c=-3}$

Answer 2

3/4(4c+16)=2c+9

We simplify the equation to the form, which is simple to understand
3/4(4c+16)=2c+9

Reorder the terms in parentheses
+(+3c+12)=2c+9

Remove unnecessary parentheses
+3c+12=+2c+9

We move all terms containing c to the left and all other terms to the right.
+3c-2c=+9-12

We simplify left and right side of the equation.
+1c=-3

We divide both sides of the equation by 1 to get c.
c=-3
Hope this helped! :)