Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
–
2c+20–14=10
–
2c+6=10
Add 20 to both sides
Subtract 20 from both sides
Multiply both sides by 20
Divide both sides by 20
Combine like terms
–
2c=4
Add 6 to both sides
Subtract 6 from both sides
Multiply both sides by 6
Divide both sides by 6
Apply the distributive property
c=
Divide both sides by
–
2

Answer 1

Let's solve the equation step by step and fill in the missing parts based on the operations applied to both sides.

Starting with the equation:
\[ -2c + 20 - 14 = 10 \]

1. **Combine like terms** on the left-hand side:
- \( 20 - 14 = 6 \)
- So, we have:
\[ -2c + 6 = 10 \]

2. **Subtract 6 from both sides**:
\[ -2c + 6 - 6 = 10 - 6 \]
\[ -2c = 4 \]

3. **Divide both sides by -2**:
\[ \frac{-2c}{-2} = \frac{4}{-2} \]
\[ c = -2 \]

Thus, the entire process in order with missing terms and descriptions filled is:

- Start with: \(-2c + 20 - 14 = 10\)
- **Combine like terms**
- Resulting in: \(-2c + 6 = 10\)
- **Subtract 6 from both sides**
- Resulting in: \(-2c = 4\)
- **Divide both sides by -2**
- Final result: \(c = -2\)

So, the final answer is:
- \(c = -2\)
- Divide both sides by -> -2

The answer is \(c = -2\).