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