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Simplifying 24 + c + 2 = 12 + 6c + -46 Reorder the terms: 24 + 2 + c = 12 + 6c + -46 Combine like terms: 24 + 2 = 26 26 + c = 12 + 6c + -46 Reorder the terms: 26 + c = 12 + -46 + 6c Combine like terms: 12 + -46 = -34 26 + c = -34 + 6c Solving 26 + c = -34 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 26 + c + -6c = -34 + 6c + -6c Combine like terms: c + -6c = -5c 26 + -5c = -34 + 6c + -6c Combine like terms: 6c + -6c = 0 26 + -5c = -34 + 0 26 + -5c = -34 Add '-26' to each side of the equation. 26 + -26 + -5c = -34 + -26 Combine like terms: 26 + -26 = 0 0 + -5c = -34 + -26 -5c = -34 + -26 Combine like terms: -34 + -26 = -60 -5c = -60 Divide each side by '-5'. c = 12 Simplifying c = 12
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