Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
–
15(
–
6t+6)+15=18t–3
90t–90+15=18t–3
Add -15 to both sides
Subtract -15 from both sides
Multiply both sides by -15
Divide both sides by -15
Apply the distributive property
90t–75=18t–3
Add -90 to both sides
Subtract -90 from both sides
Multiply both sides by -90
Divide both sides by -90
Combine like terms
–75=
–
3 Subtract 18t from both sides
72t=
Add 75 to both sides
t=
Divide both sides by 72

Answer 1

Let's complete the process of solving the equation step by step, filling in the missing terms and descriptions as needed.

1. **Starting with the original equation:**
\[
-15(-6t + 6) + 15 = 18t - 3
\]

2. **Apply the distributive property:**
\[
-15(-6t) + (-15)(6) + 15 = 18t - 3
\]
This simplifies to:
\[
90t - 90 + 15 = 18t - 3
\]

3. **Combine like terms on the left side:**
\[
90t - 75 = 18t - 3
\]

4. **Subtract \(18t\) from both sides:**
\[
90t - 18t - 75 = -3
\]
This simplifies to:
\[
72t - 75 = -3
\]

5. **Add \(75\) to both sides:**
\[
72t = -3 + 75
\]
Thus:
\[
72t = 72
\]

6. **Divide both sides by \(72\):**
\[
t = \frac{72}{72}
\]
Therefore:
\[
t = 1
\]

### Summary of Steps:
- Original Equation: \( -15(-6t + 6) + 15 = 18t - 3 \)
- Apply the distributive property.
- Combine like terms: \( 90t - 75 = 18t - 3 \)
- Subtract \( 18t \) from both sides.
- Add \( 75 \) to both sides.
- Divide by \( 72 \): \( t = 1 \)

### Missed Terms and Descriptions:
- Apply the distributive property
- Combine like terms
- Subtract \( 18t \) from both sides
- Add \( 75 \) to both sides
- Divide both sides by \( 72 \)

Final solution:
\[
t = 1
\]