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Simplifying 6(c + -9) = 5(c + -6) Reorder the terms: 6(-9 + c) = 5(c + -6) (-9 * 6 + c * 6) = 5(c + -6) (-54 + 6c) = 5(c + -6) Reorder the terms: -54 + 6c = 5(-6 + c) -54 + 6c = (-6 * 5 + c * 5) -54 + 6c = (-30 + 5c) Solving -54 + 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. -54 + 6c + -5c = -30 + 5c + -5c Combine like terms: 6c + -5c = 1c -54 + 1c = -30 + 5c + -5c Combine like terms: 5c + -5c = 0 -54 + 1c = -30 + 0 -54 + 1c = -30 Add '54' to each side of the equation. -54 + 54 + 1c = -30 + 54 Combine like terms: -54 + 54 = 0 0 + 1c = -30 + 54 1c = -30 + 54 Combine like terms: -30 + 54 = 24 1c = 24 Divide each side by '1'. c = 24 Simplifying c = 24
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