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Simplifying 6(12 + 12c) = -6(-13 + -11c) (12 * 6 + 12c * 6) = -6(-13 + -11c) (72 + 72c) = -6(-13 + -11c) 72 + 72c = (-13 * -6 + -11c * -6) 72 + 72c = (78 + 66c) Solving 72 + 72c = 78 + 66c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-66c' to each side of the equation. 72 + 72c + -66c = 78 + 66c + -66c Combine like terms: 72c + -66c = 6c 72 + 6c = 78 + 66c + -66c Combine like terms: 66c + -66c = 0 72 + 6c = 78 + 0 72 + 6c = 78 Add '-72' to each side of the equation. 72 + -72 + 6c = 78 + -72 Combine like terms: 72 + -72 = 0 0 + 6c = 78 + -72 6c = 78 + -72 Combine like terms: 78 + -72 = 6 6c = 6 Divide each side by '6'. c = 1 Simplifying c = 1
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