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Simplifying 5c + 4d + -5(5c + -6d) = 0 5c + 4d + (5c * -5 + -6d * -5) = 0 5c + 4d + (-25c + 30d) = 0 Reorder the terms: 5c + -25c + 4d + 30d = 0 Combine like terms: 5c + -25c = -20c -20c + 4d + 30d = 0 Combine like terms: 4d + 30d = 34d -20c + 34d = 0 Solving -20c + 34d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-34d' to each side of the equation. -20c + 34d + -34d = 0 + -34d Combine like terms: 34d + -34d = 0 -20c + 0 = 0 + -34d -20c = 0 + -34d Remove the zero: -20c = -34d Divide each side by '-20'. c = 1.7d Simplifying c = 1.7d
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