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Simplifying 4c + 5cd + -4(c + d) = 0 4c + 5cd + (c * -4 + d * -4) = 0 4c + 5cd + (-4c + -4d) = 0 Reorder the terms: 4c + -4c + 5cd + -4d = 0 Combine like terms: 4c + -4c = 0 0 + 5cd + -4d = 0 5cd + -4d = 0 Solving 5cd + -4d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4d' to each side of the equation. 5cd + -4d + 4d = 0 + 4d Combine like terms: -4d + 4d = 0 5cd + 0 = 0 + 4d 5cd = 0 + 4d Remove the zero: 5cd = 4d Divide each side by '5d'. c = 0.8 Simplifying c = 0.8
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