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Simplifying 24 + -1(3c + 4) = (2c + 4) + c Reorder the terms: 24 + -1(4 + 3c) = (2c + 4) + c 24 + (4 * -1 + 3c * -1) = (2c + 4) + c 24 + (-4 + -3c) = (2c + 4) + c Combine like terms: 24 + -4 = 20 20 + -3c = (2c + 4) + c Reorder the terms: 20 + -3c = (4 + 2c) + c Remove parenthesis around (4 + 2c) 20 + -3c = 4 + 2c + c Combine like terms: 2c + c = 3c 20 + -3c = 4 + 3c Solving 20 + -3c = 4 + 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. 20 + -3c + -3c = 4 + 3c + -3c Combine like terms: -3c + -3c = -6c 20 + -6c = 4 + 3c + -3c Combine like terms: 3c + -3c = 0 20 + -6c = 4 + 0 20 + -6c = 4 Add '-20' to each side of the equation. 20 + -20 + -6c = 4 + -20 Combine like terms: 20 + -20 = 0 0 + -6c = 4 + -20 -6c = 4 + -20 Combine like terms: 4 + -20 = -16 -6c = -16 Divide each side by '-6'. c = 2.666666667 Simplifying c = 2.666666667
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