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Simplifying 5(c + 3) + -2c + 9 = 2(c + -1) + 13 Reorder the terms: 5(3 + c) + -2c + 9 = 2(c + -1) + 13 (3 * 5 + c * 5) + -2c + 9 = 2(c + -1) + 13 (15 + 5c) + -2c + 9 = 2(c + -1) + 13 Reorder the terms: 15 + 9 + 5c + -2c = 2(c + -1) + 13 Combine like terms: 15 + 9 = 24 24 + 5c + -2c = 2(c + -1) + 13 Combine like terms: 5c + -2c = 3c 24 + 3c = 2(c + -1) + 13 Reorder the terms: 24 + 3c = 2(-1 + c) + 13 24 + 3c = (-1 * 2 + c * 2) + 13 24 + 3c = (-2 + 2c) + 13 Reorder the terms: 24 + 3c = -2 + 13 + 2c Combine like terms: -2 + 13 = 11 24 + 3c = 11 + 2c Solving 24 + 3c = 11 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 24 + 3c + -2c = 11 + 2c + -2c Combine like terms: 3c + -2c = 1c 24 + 1c = 11 + 2c + -2c Combine like terms: 2c + -2c = 0 24 + 1c = 11 + 0 24 + 1c = 11 Add '-24' to each side of the equation. 24 + -24 + 1c = 11 + -24 Combine like terms: 24 + -24 = 0 0 + 1c = 11 + -24 1c = 11 + -24 Combine like terms: 11 + -24 = -13 1c = -13 Divide each side by '1'. c = -13 Simplifying c = -13
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