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Simplifying 3(c + 3) + -2 = 2(c + 6) + 2 Reorder the terms: 3(3 + c) + -2 = 2(c + 6) + 2 (3 * 3 + c * 3) + -2 = 2(c + 6) + 2 (9 + 3c) + -2 = 2(c + 6) + 2 Reorder the terms: 9 + -2 + 3c = 2(c + 6) + 2 Combine like terms: 9 + -2 = 7 7 + 3c = 2(c + 6) + 2 Reorder the terms: 7 + 3c = 2(6 + c) + 2 7 + 3c = (6 * 2 + c * 2) + 2 7 + 3c = (12 + 2c) + 2 Reorder the terms: 7 + 3c = 12 + 2 + 2c Combine like terms: 12 + 2 = 14 7 + 3c = 14 + 2c Solving 7 + 3c = 14 + 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. 7 + 3c + -2c = 14 + 2c + -2c Combine like terms: 3c + -2c = 1c 7 + 1c = 14 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + 1c = 14 + 0 7 + 1c = 14 Add '-7' to each side of the equation. 7 + -7 + 1c = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 1c = 14 + -7 1c = 14 + -7 Combine like terms: 14 + -7 = 7 1c = 7 Divide each side by '1'. c = 7 Simplifying c = 7
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