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Simplifying 6(c + -4) = 5(3 + c) Reorder the terms: 6(-4 + c) = 5(3 + c) (-4 * 6 + c * 6) = 5(3 + c) (-24 + 6c) = 5(3 + c) -24 + 6c = (3 * 5 + c * 5) -24 + 6c = (15 + 5c) Solving -24 + 6c = 15 + 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 = 15 + 5c + -5c Combine like terms: 6c + -5c = 1c -24 + 1c = 15 + 5c + -5c Combine like terms: 5c + -5c = 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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