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Simplifying 4c + 28 + 2c = 5c + 40 Reorder the terms: 28 + 4c + 2c = 5c + 40 Combine like terms: 4c + 2c = 6c 28 + 6c = 5c + 40 Reorder the terms: 28 + 6c = 40 + 5c Solving 28 + 6c = 40 + 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. 28 + 6c + -5c = 40 + 5c + -5c Combine like terms: 6c + -5c = 1c 28 + 1c = 40 + 5c + -5c Combine like terms: 5c + -5c = 0 28 + 1c = 40 + 0 28 + 1c = 40 Add '-28' to each side of the equation. 28 + -28 + 1c = 40 + -28 Combine like terms: 28 + -28 = 0 0 + 1c = 40 + -28 1c = 40 + -28 Combine like terms: 40 + -28 = 12 1c = 12 Divide each side by '1'. c = 12 Simplifying c = 12
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