Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
2a+18–16=4
2a+2=4
Add 18 to both sides
Subtract 18 from both sides
Multiply both sides by 18
Divide both sides by 18
Combine like terms
2a=
Subtract 2 from both sides
a=
Divide both sides by 2

Answer 1

Let's complete the process of solving the equation step-by-step.

Starting with the equation:
\[ 2a + 18 - 16 = 4 \]

1. **Combine like terms on the left side:**
\[
2a + (18 - 16) = 4
\]
This simplifies to:
\[
2a + 2 = 4
\]

2. **Next, we have the equation:**
\[
2a + 2 = 4
\]

3. **Subtract 2 from both sides:**
\[
2a = 4 - 2
\]
Simplifying gives:
\[
2a = 2
\]

4. **Now divide both sides by 2:**
\[
a = \frac{2}{2}
\]
This simplifies to:
\[
a = 1
\]

So the filled-in terms and completed process is as follows:

- Original equation: \(2a + 18 - 16 = 4\)
**Descriptions used:**
- Combine like terms
- Add 18 to both sides (originally stated first)
- Subtract 18 from both sides (originally unnecessary here)
- Subtract 2 from both sides
- Divide both sides by 2

Final answer:
\[ a = 1 \]