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Simplifying 8(c + 12) = 2c + -6c + 11(4 + c) Reorder the terms: 8(12 + c) = 2c + -6c + 11(4 + c) (12 * 8 + c * 8) = 2c + -6c + 11(4 + c) (96 + 8c) = 2c + -6c + 11(4 + c) 96 + 8c = 2c + -6c + (4 * 11 + c * 11) 96 + 8c = 2c + -6c + (44 + 11c) Reorder the terms: 96 + 8c = 44 + 2c + -6c + 11c Combine like terms: 2c + -6c = -4c 96 + 8c = 44 + -4c + 11c Combine like terms: -4c + 11c = 7c 96 + 8c = 44 + 7c Solving 96 + 8c = 44 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 96 + 8c + -7c = 44 + 7c + -7c Combine like terms: 8c + -7c = 1c 96 + 1c = 44 + 7c + -7c Combine like terms: 7c + -7c = 0 96 + 1c = 44 + 0 96 + 1c = 44 Add '-96' to each side of the equation. 96 + -96 + 1c = 44 + -96 Combine like terms: 96 + -96 = 0 0 + 1c = 44 + -96 1c = 44 + -96 Combine like terms: 44 + -96 = -52 1c = -52 Divide each side by '1'. c = -52 Simplifying c = -52
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