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Simplifying -3c + 24 = -3(6 + -2c) Reorder the terms: 24 + -3c = -3(6 + -2c) 24 + -3c = (6 * -3 + -2c * -3) 24 + -3c = (-18 + 6c) Solving 24 + -3c = -18 + 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. 24 + -3c + -6c = -18 + 6c + -6c Combine like terms: -3c + -6c = -9c 24 + -9c = -18 + 6c + -6c Combine like terms: 6c + -6c = 0 24 + -9c = -18 + 0 24 + -9c = -18 Add '-24' to each side of the equation. 24 + -24 + -9c = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -9c = -18 + -24 -9c = -18 + -24 Combine like terms: -18 + -24 = -42 -9c = -42 Divide each side by '-9'. c = 4.666666667 Simplifying c = 4.666666667
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