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Simplifying 3(c + 5) + -2 = 2(c + 6) + 2 Reorder the terms: 3(5 + c) + -2 = 2(c + 6) + 2 (5 * 3 + c * 3) + -2 = 2(c + 6) + 2 (15 + 3c) + -2 = 2(c + 6) + 2 Reorder the terms: 15 + -2 + 3c = 2(c + 6) + 2 Combine like terms: 15 + -2 = 13 13 + 3c = 2(c + 6) + 2 Reorder the terms: 13 + 3c = 2(6 + c) + 2 13 + 3c = (6 * 2 + c * 2) + 2 13 + 3c = (12 + 2c) + 2 Reorder the terms: 13 + 3c = 12 + 2 + 2c Combine like terms: 12 + 2 = 14 13 + 3c = 14 + 2c Solving 13 + 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. 13 + 3c + -2c = 14 + 2c + -2c Combine like terms: 3c + -2c = 1c 13 + 1c = 14 + 2c + -2c Combine like terms: 2c + -2c = 0 13 + 1c = 14 + 0 13 + 1c = 14 Add '-13' to each side of the equation. 13 + -13 + 1c = 14 + -13 Combine like terms: 13 + -13 = 0 0 + 1c = 14 + -13 1c = 14 + -13 Combine like terms: 14 + -13 = 1 1c = 1 Divide each side by '1'. c = 1 Simplifying c = 1
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