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Simplifying 7(11 + -1(8(c + 2) + -5(c + 2))) = -14c Reorder the terms: 7(11 + -1(8(2 + c) + -5(c + 2))) = -14c 7(11 + -1((2 * 8 + c * 8) + -5(c + 2))) = -14c 7(11 + -1((16 + 8c) + -5(c + 2))) = -14c Reorder the terms: 7(11 + -1(16 + 8c + -5(2 + c))) = -14c 7(11 + -1(16 + 8c + (2 * -5 + c * -5))) = -14c 7(11 + -1(16 + 8c + (-10 + -5c))) = -14c Reorder the terms: 7(11 + -1(16 + -10 + 8c + -5c)) = -14c Combine like terms: 16 + -10 = 6 7(11 + -1(6 + 8c + -5c)) = -14c Combine like terms: 8c + -5c = 3c 7(11 + -1(6 + 3c)) = -14c 7(11 + (6 * -1 + 3c * -1)) = -14c 7(11 + (-6 + -3c)) = -14c Combine like terms: 11 + -6 = 5 7(5 + -3c) = -14c (5 * 7 + -3c * 7) = -14c (35 + -21c) = -14c Solving 35 + -21c = -14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14c' to each side of the equation. 35 + -21c + 14c = -14c + 14c Combine like terms: -21c + 14c = -7c 35 + -7c = -14c + 14c Combine like terms: -14c + 14c = 0 35 + -7c = 0 Add '-35' to each side of the equation. 35 + -35 + -7c = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7c = 0 + -35 -7c = 0 + -35 Combine like terms: 0 + -35 = -35 -7c = -35 Divide each side by '-7'. c = 5 Simplifying c = 5
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