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Simplifying 2c + -31 = -9c + 24 Reorder the terms: -31 + 2c = -9c + 24 Reorder the terms: -31 + 2c = 24 + -9c Solving -31 + 2c = 24 + -9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9c' to each side of the equation. -31 + 2c + 9c = 24 + -9c + 9c Combine like terms: 2c + 9c = 11c -31 + 11c = 24 + -9c + 9c Combine like terms: -9c + 9c = 0 -31 + 11c = 24 + 0 -31 + 11c = 24 Add '31' to each side of the equation. -31 + 31 + 11c = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 11c = 24 + 31 11c = 24 + 31 Combine like terms: 24 + 31 = 55 11c = 55 Divide each side by '11'. c = 5 Simplifying c = 5
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