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Simplifying 5c + 2d + -1(9c + -8d) = 0 5c + 2d + (9c * -1 + -8d * -1) = 0 5c + 2d + (-9c + 8d) = 0 Reorder the terms: 5c + -9c + 2d + 8d = 0 Combine like terms: 5c + -9c = -4c -4c + 2d + 8d = 0 Combine like terms: 2d + 8d = 10d -4c + 10d = 0 Solving -4c + 10d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10d' to each side of the equation. -4c + 10d + -10d = 0 + -10d Combine like terms: 10d + -10d = 0 -4c + 0 = 0 + -10d -4c = 0 + -10d Remove the zero: -4c = -10d Divide each side by '-4'. c = 2.5d Simplifying c = 2.5d
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