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Simplifying -2(3 + c) = 4c + 24 (3 * -2 + c * -2) = 4c + 24 (-6 + -2c) = 4c + 24 Reorder the terms: -6 + -2c = 24 + 4c Solving -6 + -2c = 24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -6 + -2c + -4c = 24 + 4c + -4c Combine like terms: -2c + -4c = -6c -6 + -6c = 24 + 4c + -4c Combine like terms: 4c + -4c = 0 -6 + -6c = 24 + 0 -6 + -6c = 24 Add '6' to each side of the equation. -6 + 6 + -6c = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -6c = 24 + 6 -6c = 24 + 6 Combine like terms: 24 + 6 = 30 -6c = 30 Divide each side by '-6'. c = -5 Simplifying c = -5
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