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Simplifying 6(c + 6) = 5(c + 12) Reorder the terms: 6(6 + c) = 5(c + 12) (6 * 6 + c * 6) = 5(c + 12) (36 + 6c) = 5(c + 12) Reorder the terms: 36 + 6c = 5(12 + c) 36 + 6c = (12 * 5 + c * 5) 36 + 6c = (60 + 5c) Solving 36 + 6c = 60 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 36 + 6c + -5c = 60 + 5c + -5c Combine like terms: 6c + -5c = 1c 36 + 1c = 60 + 5c + -5c Combine like terms: 5c + -5c = 0 36 + 1c = 60 + 0 36 + 1c = 60 Add '-36' to each side of the equation. 36 + -36 + 1c = 60 + -36 Combine like terms: 36 + -36 = 0 0 + 1c = 60 + -36 1c = 60 + -36 Combine like terms: 60 + -36 = 24 1c = 24 Divide each side by '1'. c = 24 Simplifying c = 24
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