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Simplifying 3(c + 4) = 5 + 2c Reorder the terms: 3(4 + c) = 5 + 2c (4 * 3 + c * 3) = 5 + 2c (12 + 3c) = 5 + 2c Solving 12 + 3c = 5 + 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. 12 + 3c + -2c = 5 + 2c + -2c Combine like terms: 3c + -2c = 1c 12 + 1c = 5 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + 1c = 5 + 0 12 + 1c = 5 Add '-12' to each side of the equation. 12 + -12 + 1c = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = 5 + -12 1c = 5 + -12 Combine like terms: 5 + -12 = -7 1c = -7 Divide each side by '1'. c = -7 Simplifying c = -7
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