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Simplifying 3(c + 12) = 2(c + 7) + 4 Reorder the terms: 3(12 + c) = 2(c + 7) + 4 (12 * 3 + c * 3) = 2(c + 7) + 4 (36 + 3c) = 2(c + 7) + 4 Reorder the terms: 36 + 3c = 2(7 + c) + 4 36 + 3c = (7 * 2 + c * 2) + 4 36 + 3c = (14 + 2c) + 4 Reorder the terms: 36 + 3c = 14 + 4 + 2c Combine like terms: 14 + 4 = 18 36 + 3c = 18 + 2c Solving 36 + 3c = 18 + 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. 36 + 3c + -2c = 18 + 2c + -2c Combine like terms: 3c + -2c = 1c 36 + 1c = 18 + 2c + -2c Combine like terms: 2c + -2c = 0 36 + 1c = 18 + 0 36 + 1c = 18 Add '-36' to each side of the equation. 36 + -36 + 1c = 18 + -36 Combine like terms: 36 + -36 = 0 0 + 1c = 18 + -36 1c = 18 + -36 Combine like terms: 18 + -36 = -18 1c = -18 Divide each side by '1'. c = -18 Simplifying c = -18
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