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Simplifying 29 + -1(2c + 4) = 2(c + 5) + c Reorder the terms: 29 + -1(4 + 2c) = 2(c + 5) + c 29 + (4 * -1 + 2c * -1) = 2(c + 5) + c 29 + (-4 + -2c) = 2(c + 5) + c Combine like terms: 29 + -4 = 25 25 + -2c = 2(c + 5) + c Reorder the terms: 25 + -2c = 2(5 + c) + c 25 + -2c = (5 * 2 + c * 2) + c 25 + -2c = (10 + 2c) + c Combine like terms: 2c + c = 3c 25 + -2c = 10 + 3c Solving 25 + -2c = 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. 25 + -2c + -3c = 10 + 3c + -3c Combine like terms: -2c + -3c = -5c 25 + -5c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 25 + -5c = 10 + 0 25 + -5c = 10 Add '-25' to each side of the equation. 25 + -25 + -5c = 10 + -25 Combine like terms: 25 + -25 = 0 0 + -5c = 10 + -25 -5c = 10 + -25 Combine like terms: 10 + -25 = -15 -5c = -15 Divide each side by '-5'. c = 3 Simplifying c = 3
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