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Simplifying 4c + 5d + -3(5c + -6d) = 0 4c + 5d + (5c * -3 + -6d * -3) = 0 4c + 5d + (-15c + 18d) = 0 Reorder the terms: 4c + -15c + 5d + 18d = 0 Combine like terms: 4c + -15c = -11c -11c + 5d + 18d = 0 Combine like terms: 5d + 18d = 23d -11c + 23d = 0 Solving -11c + 23d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-23d' to each side of the equation. -11c + 23d + -23d = 0 + -23d Combine like terms: 23d + -23d = 0 -11c + 0 = 0 + -23d -11c = 0 + -23d Remove the zero: -11c = -23d Divide each side by '-11'. c = 2.090909091d Simplifying c = 2.090909091d
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