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Simplifying 3(4c + 1) = 2c + 13 Reorder the terms: 3(1 + 4c) = 2c + 13 (1 * 3 + 4c * 3) = 2c + 13 (3 + 12c) = 2c + 13 Reorder the terms: 3 + 12c = 13 + 2c Solving 3 + 12c = 13 + 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. 3 + 12c + -2c = 13 + 2c + -2c Combine like terms: 12c + -2c = 10c 3 + 10c = 13 + 2c + -2c Combine like terms: 2c + -2c = 0 3 + 10c = 13 + 0 3 + 10c = 13 Add '-3' to each side of the equation. 3 + -3 + 10c = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 10c = 13 + -3 10c = 13 + -3 Combine like terms: 13 + -3 = 10 10c = 10 Divide each side by '10'. c = 1 Simplifying c = 1
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