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Simplifying 32 + -1(3c + 4) = 2(c + 5) + c Reorder the terms: 32 + -1(4 + 3c) = 2(c + 5) + c 32 + (4 * -1 + 3c * -1) = 2(c + 5) + c 32 + (-4 + -3c) = 2(c + 5) + c Combine like terms: 32 + -4 = 28 28 + -3c = 2(c + 5) + c Reorder the terms: 28 + -3c = 2(5 + c) + c 28 + -3c = (5 * 2 + c * 2) + c 28 + -3c = (10 + 2c) + c Combine like terms: 2c + c = 3c 28 + -3c = 10 + 3c Solving 28 + -3c = 10 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 28 + -3c + -3c = 10 + 3c + -3c Combine like terms: -3c + -3c = -6c 28 + -6c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 28 + -6c = 10 + 0 28 + -6c = 10 Add '-28' to each side of the equation. 28 + -28 + -6c = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -6c = 10 + -28 -6c = 10 + -28 Combine like terms: 10 + -28 = -18 -6c = -18 Divide each side by '-6'. c = 3 Simplifying c = 3
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