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Simplifying 3(c + 4) = 5c + 14 Reorder the terms: 3(4 + c) = 5c + 14 (4 * 3 + c * 3) = 5c + 14 (12 + 3c) = 5c + 14 Reorder the terms: 12 + 3c = 14 + 5c Solving 12 + 3c = 14 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 12 + 3c + -5c = 14 + 5c + -5c Combine like terms: 3c + -5c = -2c 12 + -2c = 14 + 5c + -5c Combine like terms: 5c + -5c = 0 12 + -2c = 14 + 0 12 + -2c = 14 Add '-12' to each side of the equation. 12 + -12 + -2c = 14 + -12 Combine like terms: 12 + -12 = 0 0 + -2c = 14 + -12 -2c = 14 + -12 Combine like terms: 14 + -12 = 2 -2c = 2 Divide each side by '-2'. c = -1 Simplifying c = -1
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