Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
–
19b+19=
–
12b+19
–
7b+19=19
Add 12b to both sides
Subtract 12b from both sides
Multiply both sides by 12b
Divide both sides by 12b
Apply the distributive property
–
7b=0
Add 19 to both sides
Subtract 19 from both sides
Multiply both sides by 19
Divide both sides by 19
Apply the distributive property
b=
Divide both sides by
–
7

Answer 1

Let's solve the equation step by step, filling in the missing terms and providing descriptions for each operation.

1. Start with the original equation:

\( -19b + 19 = -12b + 19 \)

2. **Subtract 19 from both sides**:

This gives us:
\[
-19b = -12b
\]

3. **Add 12b to both sides**:

This gives us:
\[
-19b + 12b = 0
\]
Simplifying this, we get:
\[
-7b = 0
\]

4. **Divide both sides by -7**:

This gives us:
\[
b = 0
\]

Now let's summarize and fill in the missing descriptions:

- Start with: \( -19b + 19 = -12b + 19 \)
- **Subtract 19 from both sides**
- Result: \( -19b = -12b \)
- **Add 12b to both sides**
- Result: \( -19b + 12b = 0 \)
- Result simplifies to: \( -7b = 0 \)
- **Divide both sides by -7**
- Result: \( b = 0 \)

So, the missing information is:

- Add 12b to both sides
- Subtract 19 from both sides
- \( b = 0 \)
- Divide both sides by -7

Final representation:
\[
b = 0
\]