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Simplifying c + 2(d + -5c) + 14d = 0 Reorder the terms: c + 2(-5c + d) + 14d = 0 c + (-5c * 2 + d * 2) + 14d = 0 c + (-10c + 2d) + 14d = 0 Combine like terms: c + -10c = -9c -9c + 2d + 14d = 0 Combine like terms: 2d + 14d = 16d -9c + 16d = 0 Solving -9c + 16d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16d' to each side of the equation. -9c + 16d + -16d = 0 + -16d Combine like terms: 16d + -16d = 0 -9c + 0 = 0 + -16d -9c = 0 + -16d Remove the zero: -9c = -16d Divide each side by '-9'. c = 1.777777778d Simplifying c = 1.777777778d
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