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Simplifying 5(c + 2) = 3(c + 6) Reorder the terms: 5(2 + c) = 3(c + 6) (2 * 5 + c * 5) = 3(c + 6) (10 + 5c) = 3(c + 6) Reorder the terms: 10 + 5c = 3(6 + c) 10 + 5c = (6 * 3 + c * 3) 10 + 5c = (18 + 3c) Solving 10 + 5c = 18 + 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. 10 + 5c + -3c = 18 + 3c + -3c Combine like terms: 5c + -3c = 2c 10 + 2c = 18 + 3c + -3c Combine like terms: 3c + -3c = 0 10 + 2c = 18 + 0 10 + 2c = 18 Add '-10' to each side of the equation. 10 + -10 + 2c = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 2c = 18 + -10 2c = 18 + -10 Combine like terms: 18 + -10 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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