Question

Complete the process of solving the equation.
Fill in all the missing terms and select all missing descriptions. Simplify any fractions.
8b+4+3b=9b+16
+4=9b+16
Combine like terms
Add 8b to both sides
Subtract 8b from both sides
Multiply both sides by 8b
Divide both sides by 8b
Combine like terms
+4=16
Add 9b to both sides
Subtract 9b from both sides
Multiply both sides by 9b
Divide both sides by 9b
Apply the distributive property
2b=
Add 4 to both sides
Subtract 4 from both sides
Multiply both sides by 4
Divide both sides by 4
Apply the distributive property
b=

Answer 1

To solve the equation \( 8b + 4 + 3b = 9b + 16 \), we can follow a structured process to isolate \( b \). Here’s how it goes step by step:

1. **Combine like terms** on the left side:
\[
8b + 3b + 4 = 9b + 16 \implies 11b + 4 = 9b + 16
\]

2. **Subtract \( 9b \) from both sides** to get all \( b \) terms on one side:
\[
11b - 9b + 4 = 16 \implies 2b + 4 = 16
\]

3. **Subtract 4 from both sides**:
\[
2b + 4 - 4 = 16 - 4 \implies 2b = 12
\]

4. **Divide both sides by 2** to solve for \( b \):
\[
b = \frac{12}{2} \implies b = 6
\]

So the completed process and filled-in blanks result in:

- Initial setup:
\[
8b + 4 + 3b = 9b + 16
\]

- Combine like terms:
\[
11b + 4 = 9b + 16
\]

- Subtract \( 9b \) from both sides:
\[
2b + 4 = 16
\]

- Subtract 4 from both sides:
\[
2b = 12
\]

- Divide both sides by 2:
\[
b = 6
\]

Thus, the final answer for \( b \) is \( b = 6 \).

### Missing Terms and Descriptions:
1. Combine like terms
2. Subtract \( 9b \) from both sides
3. Subtract 4 from both sides
4. Divide both sides by 2

Simplification of fractions was not necessary in this case, as the fractions simplified cleanly to integers.