Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. -2(-c - 8) = -8c + 6 2c + 16 = -8c + 6 blank + 16 = 6 add 8c to both sides 10c = -10 blank c = -1 divide both sides by 10

Explanation:

Step1: Apply distributive property

$-2(-c - 8)=(-2)\times(-c)+(-2)\times(-8)=2c + 16$, so the first - missing description is "Apply the distributive property".

Step2: Combine like - terms

When we add $8c$ to both sides of $2c + 16=-8c + 6$, we get $(2c+8c)+16=(-8c + 8c)+6$, which simplifies to $10c+16 = 6$.

Step3: Subtract 16 from both sides

To get from $10c + 16 = 6$ to $10c=-10$, we subtract 16 from both sides. The missing description is "Subtract 16 from both sides".

Answer:

The first missing description: Apply the distributive property
The second missing description: Subtract 16 from both sides