Question

complete the process of solving the equation. fill in the missing term on each line. simplify any fractions. \\(\

$$\begin{array}{|c|c|}\\hline 2(q + 1) = 20 & \\\\ \\hline q + 1 = \\square & \\text{divide both sides by 2} \\\\ \\hline q = \\square & \\text{subtract 1 from both sides} \\\\ \\hline\\end{array}$$

\\)

Explanation:

Step1: Divide both sides by 2

Given the equation \(2(q + 1)=20\), when we divide both sides by 2, we use the property of equality. So, \(\frac{2(q + 1)}{2}=\frac{20}{2}\), which simplifies to \(q + 1 = 10\).

Step2: Subtract 1 from both sides

Now that we have \(q + 1 = 10\), to solve for \(q\), we subtract 1 from both sides. Using the property of equality, \(q+1 - 1=10 - 1\), which simplifies to \(q = 9\).

Answer:

For the first missing term (after dividing both sides by 2): \(10\)
For the second missing term (after subtracting 1 from both sides): \(9\)