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Simplifying 2(7c + 9v + -12d) = 0 Reorder the terms: 2(7c + -12d + 9v) = 0 (7c * 2 + -12d * 2 + 9v * 2) = 0 (14c + -24d + 18v) = 0 Solving 14c + -24d + 18v = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '24d' to each side of the equation. 14c + -24d + 24d + 18v = 0 + 24d Combine like terms: -24d + 24d = 0 14c + 0 + 18v = 0 + 24d 14c + 18v = 0 + 24d Remove the zero: 14c + 18v = 24d Add '-18v' to each side of the equation. 14c + 18v + -18v = 24d + -18v Combine like terms: 18v + -18v = 0 14c + 0 = 24d + -18v 14c = 24d + -18v Divide each side by '14'. c = 1.714285714d + -1.285714286v Simplifying c = 1.714285714d + -1.285714286v
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