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Simplifying 3(c + 4) = 2c + 17 Reorder the terms: 3(4 + c) = 2c + 17 (4 * 3 + c * 3) = 2c + 17 (12 + 3c) = 2c + 17 Reorder the terms: 12 + 3c = 17 + 2c Solving 12 + 3c = 17 + 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 = 17 + 2c + -2c Combine like terms: 3c + -2c = 1c 12 + 1c = 17 + 2c + -2c Combine like terms: 2c + -2c = 0 12 + 1c = 17 + 0 12 + 1c = 17 Add '-12' to each side of the equation. 12 + -12 + 1c = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 1c = 17 + -12 1c = 17 + -12 Combine like terms: 17 + -12 = 5 1c = 5 Divide each side by '1'. c = 5 Simplifying c = 5
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