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Simplifying 3c + 2 = c + 12 Reorder the terms: 2 + 3c = c + 12 Reorder the terms: 2 + 3c = 12 + c Solving 2 + 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. 2 + 3c + -1c = 12 + c + -1c Combine like terms: 3c + -1c = 2c 2 + 2c = 12 + c + -1c Combine like terms: c + -1c = 0 2 + 2c = 12 + 0 2 + 2c = 12 Add '-2' to each side of the equation. 2 + -2 + 2c = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2c = 12 + -2 2c = 12 + -2 Combine like terms: 12 + -2 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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