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Simplifying 2(c + 6) = 5(5 + 12) Reorder the terms: 2(6 + c) = 5(5 + 12) (6 * 2 + c * 2) = 5(5 + 12) (12 + 2c) = 5(5 + 12) Combine like terms: 5 + 12 = 17 12 + 2c = 5(17) Multiply 5 * 17 12 + 2c = 85 Solving 12 + 2c = 85 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2c = 85 + -12 Combine like terms: 12 + -12 = 0 0 + 2c = 85 + -12 2c = 85 + -12 Combine like terms: 85 + -12 = 73 2c = 73 Divide each side by '2'. c = 36.5 Simplifying c = 36.5
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