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Simplifying 8c + 4d + -4(5c + -4d) = 0 8c + 4d + (5c * -4 + -4d * -4) = 0 8c + 4d + (-20c + 16d) = 0 Reorder the terms: 8c + -20c + 4d + 16d = 0 Combine like terms: 8c + -20c = -12c -12c + 4d + 16d = 0 Combine like terms: 4d + 16d = 20d -12c + 20d = 0 Solving -12c + 20d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20d' to each side of the equation. -12c + 20d + -20d = 0 + -20d Combine like terms: 20d + -20d = 0 -12c + 0 = 0 + -20d -12c = 0 + -20d Remove the zero: -12c = -20d Divide each side by '-12'. c = 1.666666667d Simplifying c = 1.666666667d
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