Question

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

Answer 1

`(3)/(4)(4c+16)=2c+9\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\(3)/(4)\cdot4c+(3)/(4)\cdot16=2c+9\\\\(3)/(\\ot4_1)\cdot(\\ot4c)/(1)+(3)/(\\ot4_1)\cdot(\\ot16^4)/(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! :)