Question

solve for c.
-5c + 5c + 2c - 6c - 12c = -16
c = \boxed{}

Explanation:

Step1: Combine like terms on the left

Combine the coefficients of \( c \): \((-5 + 5 + 2 - 6 - 12)c\)
Calculate the sum: \(-5 + 5 = 0\), \(0 + 2 = 2\), \(2 - 6 = -4\), \(-4 - 12 = -16\), so we get \(-16c = -16\)

Step2: Solve for \( c \)

Divide both sides by \(-16\): \(c = \frac{-16}{-16}\)
Simplify the fraction: \(c = 1\)

Answer:

\(1\)