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Simplifying 5(c + 6) = 3c Reorder the terms: 5(6 + c) = 3c (6 * 5 + c * 5) = 3c (30 + 5c) = 3c Solving 30 + 5c = 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 30 + 5c + -3c = 3c + -3c Combine like terms: 5c + -3c = 2c 30 + 2c = 3c + -3c Combine like terms: 3c + -3c = 0 30 + 2c = 0 Add '-30' to each side of the equation. 30 + -30 + 2c = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 2c = 0 + -30 2c = 0 + -30 Combine like terms: 0 + -30 = -30 2c = -30 Divide each side by '2'. c = -15 Simplifying c = -15
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