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Simplifying 3(11 + -1(6(c + 2) + -3(c + 2))) = -6c Reorder the terms: 3(11 + -1(6(2 + c) + -3(c + 2))) = -6c 3(11 + -1((2 * 6 + c * 6) + -3(c + 2))) = -6c 3(11 + -1((12 + 6c) + -3(c + 2))) = -6c Reorder the terms: 3(11 + -1(12 + 6c + -3(2 + c))) = -6c 3(11 + -1(12 + 6c + (2 * -3 + c * -3))) = -6c 3(11 + -1(12 + 6c + (-6 + -3c))) = -6c Reorder the terms: 3(11 + -1(12 + -6 + 6c + -3c)) = -6c Combine like terms: 12 + -6 = 6 3(11 + -1(6 + 6c + -3c)) = -6c Combine like terms: 6c + -3c = 3c 3(11 + -1(6 + 3c)) = -6c 3(11 + (6 * -1 + 3c * -1)) = -6c 3(11 + (-6 + -3c)) = -6c Combine like terms: 11 + -6 = 5 3(5 + -3c) = -6c (5 * 3 + -3c * 3) = -6c (15 + -9c) = -6c Solving 15 + -9c = -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. 15 + -9c + 6c = -6c + 6c Combine like terms: -9c + 6c = -3c 15 + -3c = -6c + 6c Combine like terms: -6c + 6c = 0 15 + -3c = 0 Add '-15' to each side of the equation. 15 + -15 + -3c = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3c = 0 + -15 -3c = 0 + -15 Combine like terms: 0 + -15 = -15 -3c = -15 Divide each side by '-3'. c = 5 Simplifying c = 5
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