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Simplifying 9(c + 6 + 9d) = 0 Reorder the terms: 9(6 + c + 9d) = 0 (6 * 9 + c * 9 + 9d * 9) = 0 (54 + 9c + 81d) = 0 Solving 54 + 9c + 81d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + 9c + -54 + 81d = 0 + -54 Reorder the terms: 54 + -54 + 9c + 81d = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 9c + 81d = 0 + -54 9c + 81d = 0 + -54 Combine like terms: 0 + -54 = -54 9c + 81d = -54 Add '-81d' to each side of the equation. 9c + 81d + -81d = -54 + -81d Combine like terms: 81d + -81d = 0 9c + 0 = -54 + -81d 9c = -54 + -81d Divide each side by '9'. c = -6 + -9d Simplifying c = -6 + -9d
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