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Simplifying 2c + 12 = 3c + c + 6 Reorder the terms: 12 + 2c = 3c + c + 6 Reorder the terms: 12 + 2c = 6 + 3c + c Combine like terms: 3c + c = 4c 12 + 2c = 6 + 4c Solving 12 + 2c = 6 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 12 + 2c + -4c = 6 + 4c + -4c Combine like terms: 2c + -4c = -2c 12 + -2c = 6 + 4c + -4c Combine like terms: 4c + -4c = 0 12 + -2c = 6 + 0 12 + -2c = 6 Add '-12' to each side of the equation. 12 + -12 + -2c = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -2c = 6 + -12 -2c = 6 + -12 Combine like terms: 6 + -12 = -6 -2c = -6 Divide each side by '-2'. c = 3 Simplifying c = 3
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