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Simplifying -12 = -4(c + -16) Reorder the terms: -12 = -4(-16 + c) -12 = (-16 * -4 + c * -4) -12 = (64 + -4c) Solving -12 = 64 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. -12 + 4c = 64 + -4c + 4c Combine like terms: -4c + 4c = 0 -12 + 4c = 64 + 0 -12 + 4c = 64 Add '12' to each side of the equation. -12 + 12 + 4c = 64 + 12 Combine like terms: -12 + 12 = 0 0 + 4c = 64 + 12 4c = 64 + 12 Combine like terms: 64 + 12 = 76 4c = 76 Divide each side by '4'. c = 19 Simplifying c = 19
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