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Simplifying 2c + 4 + c = 5 + 7 + c Reorder the terms: 4 + 2c + c = 5 + 7 + c Combine like terms: 2c + c = 3c 4 + 3c = 5 + 7 + c Combine like terms: 5 + 7 = 12 4 + 3c = 12 + c Solving 4 + 3c = 12 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 4 + 3c + -1c = 12 + c + -1c Combine like terms: 3c + -1c = 2c 4 + 2c = 12 + c + -1c Combine like terms: c + -1c = 0 4 + 2c = 12 + 0 4 + 2c = 12 Add '-4' to each side of the equation. 4 + -4 + 2c = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2c = 12 + -4 2c = 12 + -4 Combine like terms: 12 + -4 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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