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Simplifying -3(-1c + -12) = -3c + -12 Reorder the terms: -3(-12 + -1c) = -3c + -12 (-12 * -3 + -1c * -3) = -3c + -12 (36 + 3c) = -3c + -12 Reorder the terms: 36 + 3c = -12 + -3c Solving 36 + 3c = -12 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 36 + 3c + 3c = -12 + -3c + 3c Combine like terms: 3c + 3c = 6c 36 + 6c = -12 + -3c + 3c Combine like terms: -3c + 3c = 0 36 + 6c = -12 + 0 36 + 6c = -12 Add '-36' to each side of the equation. 36 + -36 + 6c = -12 + -36 Combine like terms: 36 + -36 = 0 0 + 6c = -12 + -36 6c = -12 + -36 Combine like terms: -12 + -36 = -48 6c = -48 Divide each side by '6'. c = -8 Simplifying c = -8
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