Complete the process of solving the equation.

Question

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.