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Simplifying 34 + -3c + -4 = 2c + 12 + c Reorder the terms: 34 + -4 + -3c = 2c + 12 + c Combine like terms: 34 + -4 = 30 30 + -3c = 2c + 12 + c Reorder the terms: 30 + -3c = 12 + 2c + c Combine like terms: 2c + c = 3c 30 + -3c = 12 + 3c Solving 30 + -3c = 12 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 30 + -3c + -3c = 12 + 3c + -3c Combine like terms: -3c + -3c = -6c 30 + -6c = 12 + 3c + -3c Combine like terms: 3c + -3c = 0 30 + -6c = 12 + 0 30 + -6c = 12 Add '-30' to each side of the equation. 30 + -30 + -6c = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -6c = 12 + -30 -6c = 12 + -30 Combine like terms: 12 + -30 = -18 -6c = -18 Divide each side by '-6'. c = 3 Simplifying c = 3
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