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Simplifying 6(7c + -17) = -3(-18c + 18) Reorder the terms: 6(-17 + 7c) = -3(-18c + 18) (-17 * 6 + 7c * 6) = -3(-18c + 18) (-102 + 42c) = -3(-18c + 18) Reorder the terms: -102 + 42c = -3(18 + -18c) -102 + 42c = (18 * -3 + -18c * -3) -102 + 42c = (-54 + 54c) Solving -102 + 42c = -54 + 54c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-54c' to each side of the equation. -102 + 42c + -54c = -54 + 54c + -54c Combine like terms: 42c + -54c = -12c -102 + -12c = -54 + 54c + -54c Combine like terms: 54c + -54c = 0 -102 + -12c = -54 + 0 -102 + -12c = -54 Add '102' to each side of the equation. -102 + 102 + -12c = -54 + 102 Combine like terms: -102 + 102 = 0 0 + -12c = -54 + 102 -12c = -54 + 102 Combine like terms: -54 + 102 = 48 -12c = 48 Divide each side by '-12'. c = -4 Simplifying c = -4
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