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Simplifying 12(4c + -9) = 6c + -6 Reorder the terms: 12(-9 + 4c) = 6c + -6 (-9 * 12 + 4c * 12) = 6c + -6 (-108 + 48c) = 6c + -6 Reorder the terms: -108 + 48c = -6 + 6c Solving -108 + 48c = -6 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -108 + 48c + -6c = -6 + 6c + -6c Combine like terms: 48c + -6c = 42c -108 + 42c = -6 + 6c + -6c Combine like terms: 6c + -6c = 0 -108 + 42c = -6 + 0 -108 + 42c = -6 Add '108' to each side of the equation. -108 + 108 + 42c = -6 + 108 Combine like terms: -108 + 108 = 0 0 + 42c = -6 + 108 42c = -6 + 108 Combine like terms: -6 + 108 = 102 42c = 102 Divide each side by '42'. c = 2.428571429 Simplifying c = 2.428571429
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