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Simplifying 3c + 8 = c + 12 Reorder the terms: 8 + 3c = c + 12 Reorder the terms: 8 + 3c = 12 + c Solving 8 + 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. 8 + 3c + -1c = 12 + c + -1c Combine like terms: 3c + -1c = 2c 8 + 2c = 12 + c + -1c Combine like terms: c + -1c = 0 8 + 2c = 12 + 0 8 + 2c = 12 Add '-8' to each side of the equation. 8 + -8 + 2c = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2c = 12 + -8 2c = 12 + -8 Combine like terms: 12 + -8 = 4 2c = 4 Divide each side by '2'. c = 2 Simplifying c = 2
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