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Simplifying 8(2c + 2v + -9d) = 0 Reorder the terms: 8(2c + -9d + 2v) = 0 (2c * 8 + -9d * 8 + 2v * 8) = 0 (16c + -72d + 16v) = 0 Solving 16c + -72d + 16v = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '72d' to each side of the equation. 16c + -72d + 72d + 16v = 0 + 72d Combine like terms: -72d + 72d = 0 16c + 0 + 16v = 0 + 72d 16c + 16v = 0 + 72d Remove the zero: 16c + 16v = 72d Add '-16v' to each side of the equation. 16c + 16v + -16v = 72d + -16v Combine like terms: 16v + -16v = 0 16c + 0 = 72d + -16v 16c = 72d + -16v Divide each side by '16'. c = 4.5d + -1v Simplifying c = 4.5d + -1v
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