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Simplifying 5(c + 4 + 6d) = 0 Reorder the terms: 5(4 + c + 6d) = 0 (4 * 5 + c * 5 + 6d * 5) = 0 (20 + 5c + 30d) = 0 Solving 20 + 5c + 30d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 5c + -20 + 30d = 0 + -20 Reorder the terms: 20 + -20 + 5c + 30d = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5c + 30d = 0 + -20 5c + 30d = 0 + -20 Combine like terms: 0 + -20 = -20 5c + 30d = -20 Add '-30d' to each side of the equation. 5c + 30d + -30d = -20 + -30d Combine like terms: 30d + -30d = 0 5c + 0 = -20 + -30d 5c = -20 + -30d Divide each side by '5'. c = -4 + -6d Simplifying c = -4 + -6d
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