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Simplifying 6(c + 9 + 3d) = 0 Reorder the terms: 6(9 + c + 3d) = 0 (9 * 6 + c * 6 + 3d * 6) = 0 (54 + 6c + 18d) = 0 Solving 54 + 6c + 18d = 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 + 6c + -54 + 18d = 0 + -54 Reorder the terms: 54 + -54 + 6c + 18d = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 6c + 18d = 0 + -54 6c + 18d = 0 + -54 Combine like terms: 0 + -54 = -54 6c + 18d = -54 Add '-18d' to each side of the equation. 6c + 18d + -18d = -54 + -18d Combine like terms: 18d + -18d = 0 6c + 0 = -54 + -18d 6c = -54 + -18d Divide each side by '6'. c = -9 + -3d Simplifying c = -9 + -3d
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