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Simplifying 6(c + -6) = 5(4 + c) Reorder the terms: 6(-6 + c) = 5(4 + c) (-6 * 6 + c * 6) = 5(4 + c) (-36 + 6c) = 5(4 + c) -36 + 6c = (4 * 5 + c * 5) -36 + 6c = (20 + 5c) Solving -36 + 6c = 20 + 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. -36 + 6c + -5c = 20 + 5c + -5c Combine like terms: 6c + -5c = 1c -36 + 1c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 -36 + 1c = 20 + 0 -36 + 1c = 20 Add '36' to each side of the equation. -36 + 36 + 1c = 20 + 36 Combine like terms: -36 + 36 = 0 0 + 1c = 20 + 36 1c = 20 + 36 Combine like terms: 20 + 36 = 56 1c = 56 Divide each side by '1'. c = 56 Simplifying c = 56
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