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Simplifying 4(6 + c) = 3(c + -5) (6 * 4 + c * 4) = 3(c + -5) (24 + 4c) = 3(c + -5) Reorder the terms: 24 + 4c = 3(-5 + c) 24 + 4c = (-5 * 3 + c * 3) 24 + 4c = (-15 + 3c) Solving 24 + 4c = -15 + 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. 24 + 4c + -3c = -15 + 3c + -3c Combine like terms: 4c + -3c = 1c 24 + 1c = -15 + 3c + -3c Combine like terms: 3c + -3c = 0 24 + 1c = -15 + 0 24 + 1c = -15 Add '-24' to each side of the equation. 24 + -24 + 1c = -15 + -24 Combine like terms: 24 + -24 = 0 0 + 1c = -15 + -24 1c = -15 + -24 Combine like terms: -15 + -24 = -39 1c = -39 Divide each side by '1'. c = -39 Simplifying c = -39
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