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Simplifying 6(4 + c) = 5(c + -6) (4 * 6 + c * 6) = 5(c + -6) (24 + 6c) = 5(c + -6) Reorder the terms: 24 + 6c = 5(-6 + c) 24 + 6c = (-6 * 5 + c * 5) 24 + 6c = (-30 + 5c) Solving 24 + 6c = -30 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 24 + 6c + -5c = -30 + 5c + -5c Combine like terms: 6c + -5c = 1c 24 + 1c = -30 + 5c + -5c Combine like terms: 5c + -5c = 0 24 + 1c = -30 + 0 24 + 1c = -30 Add '-24' to each side of the equation. 24 + -24 + 1c = -30 + -24 Combine like terms: 24 + -24 = 0 0 + 1c = -30 + -24 1c = -30 + -24 Combine like terms: -30 + -24 = -54 1c = -54 Divide each side by '1'. c = -54 Simplifying c = -54
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