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Simplifying 24 + -1(2c + 3) = 2c + 6 + c Reorder the terms: 24 + -1(3 + 2c) = 2c + 6 + c 24 + (3 * -1 + 2c * -1) = 2c + 6 + c 24 + (-3 + -2c) = 2c + 6 + c Combine like terms: 24 + -3 = 21 21 + -2c = 2c + 6 + c Reorder the terms: 21 + -2c = 6 + 2c + c Combine like terms: 2c + c = 3c 21 + -2c = 6 + 3c Solving 21 + -2c = 6 + 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. 21 + -2c + -3c = 6 + 3c + -3c Combine like terms: -2c + -3c = -5c 21 + -5c = 6 + 3c + -3c Combine like terms: 3c + -3c = 0 21 + -5c = 6 + 0 21 + -5c = 6 Add '-21' to each side of the equation. 21 + -21 + -5c = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -5c = 6 + -21 -5c = 6 + -21 Combine like terms: 6 + -21 = -15 -5c = -15 Divide each side by '-5'. c = 3 Simplifying c = 3
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