Question

solve for c.
18 = 4(c - 13) + 2
c =

Explanation:

Step1: Subtract 2 from both sides

First, we want to isolate the term with the parenthesis. Subtract 2 from both sides of the equation \(18 = 4(c - 13)+2\). So we get \(18 - 2=4(c - 13)+2 - 2\), which simplifies to \(16 = 4(c - 13)\).

Step2: Divide both sides by 4

Next, to get rid of the coefficient 4 in front of the parenthesis, we divide both sides by 4. So \(\frac{16}{4}=\frac{4(c - 13)}{4}\), which simplifies to \(4=c - 13\).

Step3: Add 13 to both sides

Now, to solve for \(c\), we add 13 to both sides of the equation \(4=c - 13\). So \(4 + 13=c-13 + 13\), which simplifies to \(c = 17\).

Answer:

17