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Simplifying 9c + 7(c + -1d) + -1d = 0 9c + (c * 7 + -1d * 7) + -1d = 0 9c + (7c + -7d) + -1d = 0 Combine like terms: 9c + 7c = 16c 16c + -7d + -1d = 0 Combine like terms: -7d + -1d = -8d 16c + -8d = 0 Solving 16c + -8d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8d' to each side of the equation. 16c + -8d + 8d = 0 + 8d Combine like terms: -8d + 8d = 0 16c + 0 = 0 + 8d 16c = 0 + 8d Remove the zero: 16c = 8d Divide each side by '16'. c = 0.5d Simplifying c = 0.5d
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