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Simplifying 6(2c + 2) = 5(2c + 9) Reorder the terms: 6(2 + 2c) = 5(2c + 9) (2 * 6 + 2c * 6) = 5(2c + 9) (12 + 12c) = 5(2c + 9) Reorder the terms: 12 + 12c = 5(9 + 2c) 12 + 12c = (9 * 5 + 2c * 5) 12 + 12c = (45 + 10c) Solving 12 + 12c = 45 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 12 + 12c + -10c = 45 + 10c + -10c Combine like terms: 12c + -10c = 2c 12 + 2c = 45 + 10c + -10c Combine like terms: 10c + -10c = 0 12 + 2c = 45 + 0 12 + 2c = 45 Add '-12' to each side of the equation. 12 + -12 + 2c = 45 + -12 Combine like terms: 12 + -12 = 0 0 + 2c = 45 + -12 2c = 45 + -12 Combine like terms: 45 + -12 = 33 2c = 33 Divide each side by '2'. c = 16.5 Simplifying c = 16.5
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