Question

complete the process of solving the equation. fill in the missing term and select the missing description. simplify any fractions. 2(c + 6) = 18 c + 6 = 9 c = subtract 6 from both sides

Explanation:

Step1: Identify the first operation

To get from \(2(c + 6)=18\) to \(c + 6 = 9\), we divide both sides of the equation by 2. This is the Division Property of Equality, which states that if \(a=b\), then \(\frac{a}{c}=\frac{b}{c}\) (where \(c
eq0\)). So the missing description for the first step is "Divide both sides by 2".

Step2: Solve for \(c\)

We have the equation \(c + 6=9\). Using the operation "Subtract 6 from both sides", we subtract 6 from each side: \(c+6 - 6=9 - 6\). Simplifying the left side (since \(6 - 6 = 0\)) and the right side (\(9-6 = 3\)), we get \(c = 3\).

Answer:

First missing description: Divide both sides by 2; \(c=\boldsymbol{3}\)