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Simplifying 5(3c + -4d) + -8c = 0 (3c * 5 + -4d * 5) + -8c = 0 (15c + -20d) + -8c = 0 Reorder the terms: 15c + -8c + -20d = 0 Combine like terms: 15c + -8c = 7c 7c + -20d = 0 Solving 7c + -20d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20d' to each side of the equation. 7c + -20d + 20d = 0 + 20d Combine like terms: -20d + 20d = 0 7c + 0 = 0 + 20d 7c = 0 + 20d Remove the zero: 7c = 20d Divide each side by '7'. c = 2.857142857d Simplifying c = 2.857142857d
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