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Simplifying 8c + 8d + -8(7c + -4d) = 0 8c + 8d + (7c * -8 + -4d * -8) = 0 8c + 8d + (-56c + 32d) = 0 Reorder the terms: 8c + -56c + 8d + 32d = 0 Combine like terms: 8c + -56c = -48c -48c + 8d + 32d = 0 Combine like terms: 8d + 32d = 40d -48c + 40d = 0 Solving -48c + 40d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40d' to each side of the equation. -48c + 40d + -40d = 0 + -40d Combine like terms: 40d + -40d = 0 -48c + 0 = 0 + -40d -48c = 0 + -40d Remove the zero: -48c = -40d Divide each side by '-48'. c = 0.8333333333d Simplifying c = 0.8333333333d
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