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Simplifying -6(8c + -13) = -3(18 + -6c) Reorder the terms: -6(-13 + 8c) = -3(18 + -6c) (-13 * -6 + 8c * -6) = -3(18 + -6c) (78 + -48c) = -3(18 + -6c) 78 + -48c = (18 * -3 + -6c * -3) 78 + -48c = (-54 + 18c) Solving 78 + -48c = -54 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. 78 + -48c + -18c = -54 + 18c + -18c Combine like terms: -48c + -18c = -66c 78 + -66c = -54 + 18c + -18c Combine like terms: 18c + -18c = 0 78 + -66c = -54 + 0 78 + -66c = -54 Add '-78' to each side of the equation. 78 + -78 + -66c = -54 + -78 Combine like terms: 78 + -78 = 0 0 + -66c = -54 + -78 -66c = -54 + -78 Combine like terms: -54 + -78 = -132 -66c = -132 Divide each side by '-66'. c = 2 Simplifying c = 2
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