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Simplifying 3(c + 5) + -2 + 2c = 2(c + 6) + c + 7 Reorder the terms: 3(5 + c) + -2 + 2c = 2(c + 6) + c + 7 (5 * 3 + c * 3) + -2 + 2c = 2(c + 6) + c + 7 (15 + 3c) + -2 + 2c = 2(c + 6) + c + 7 Reorder the terms: 15 + -2 + 3c + 2c = 2(c + 6) + c + 7 Combine like terms: 15 + -2 = 13 13 + 3c + 2c = 2(c + 6) + c + 7 Combine like terms: 3c + 2c = 5c 13 + 5c = 2(c + 6) + c + 7 Reorder the terms: 13 + 5c = 2(6 + c) + c + 7 13 + 5c = (6 * 2 + c * 2) + c + 7 13 + 5c = (12 + 2c) + c + 7 Reorder the terms: 13 + 5c = 12 + 7 + 2c + c Combine like terms: 12 + 7 = 19 13 + 5c = 19 + 2c + c Combine like terms: 2c + c = 3c 13 + 5c = 19 + 3c Solving 13 + 5c = 19 + 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. 13 + 5c + -3c = 19 + 3c + -3c Combine like terms: 5c + -3c = 2c 13 + 2c = 19 + 3c + -3c Combine like terms: 3c + -3c = 0 13 + 2c = 19 + 0 13 + 2c = 19 Add '-13' to each side of the equation. 13 + -13 + 2c = 19 + -13 Combine like terms: 13 + -13 = 0 0 + 2c = 19 + -13 2c = 19 + -13 Combine like terms: 19 + -13 = 6 2c = 6 Divide each side by '2'. c = 3 Simplifying c = 3
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