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Simplifying 3(c + 5) = 4(1 + -2c) Reorder the terms: 3(5 + c) = 4(1 + -2c) (5 * 3 + c * 3) = 4(1 + -2c) (15 + 3c) = 4(1 + -2c) 15 + 3c = (1 * 4 + -2c * 4) 15 + 3c = (4 + -8c) Solving 15 + 3c = 4 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. 15 + 3c + 8c = 4 + -8c + 8c Combine like terms: 3c + 8c = 11c 15 + 11c = 4 + -8c + 8c Combine like terms: -8c + 8c = 0 15 + 11c = 4 + 0 15 + 11c = 4 Add '-15' to each side of the equation. 15 + -15 + 11c = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 11c = 4 + -15 11c = 4 + -15 Combine like terms: 4 + -15 = -11 11c = -11 Divide each side by '11'. c = -1 Simplifying c = -1
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