Complete the process of solving the equation.

Question

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 \(c = -2\).