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Simplifying 5c + 5d + -6(6c + -6f) = 0 5c + 5d + (6c * -6 + -6f * -6) = 0 5c + 5d + (-36c + 36f) = 0 Reorder the terms: 5c + -36c + 5d + 36f = 0 Combine like terms: 5c + -36c = -31c -31c + 5d + 36f = 0 Solving -31c + 5d + 36f = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. -31c + 5d + -5d + 36f = 0 + -5d Combine like terms: 5d + -5d = 0 -31c + 0 + 36f = 0 + -5d -31c + 36f = 0 + -5d Remove the zero: -31c + 36f = -5d Add '-36f' to each side of the equation. -31c + 36f + -36f = -5d + -36f Combine like terms: 36f + -36f = 0 -31c + 0 = -5d + -36f -31c = -5d + -36f Divide each side by '-31'. c = 0.1612903226d + 1.161290323f Simplifying c = 0.1612903226d + 1.161290323f
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