Question

complete the process of solving the equation. fill in the missing term on each line. simplify any fractions. -3a + 20 + 14a = 14a + 17 \square + 20 = 14a + 17 combine like terms \square + 20 = 17 subtract 14a from both sides -3a = \square subtract 20 from both sides a = \square divide both sides by -3

Explanation:

Step1: Combine like terms

$$\begin{align} -3a + 14a &= 11a \end{align}$$

So the missing term is $11a$, making the line: $11a + 20 = 14a + 17$

Step2: Subtract 14a from both sides

$$\begin{align} 11a - 14a &= -3a \end{align}$$

So the missing term is $-3a$, making the line: $-3a + 20 = 17$

Step3: Subtract 20 from both sides

$$\begin{align} 17 - 20 &= -3 \end{align}$$

So the missing term is $-3$, making the line: $-3a = -3$

Step4: Divide by -3

$$\begin{align} a &= \frac{-3}{-3} = 1 \end{align}$$

Answer:

1. $11a$
2. $-3a$
3. $-3$
4. $1$