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Simplifying 9(7d + -4f) + -0.5(d + 5f) = 0 (7d * 9 + -4f * 9) + -0.5(d + 5f) = 0 (63d + -36f) + -0.5(d + 5f) = 0 63d + -36f + (d * -0.5 + 5f * -0.5) = 0 63d + -36f + (-0.5d + -2.5f) = 0 Reorder the terms: 63d + -0.5d + -36f + -2.5f = 0 Combine like terms: 63d + -0.5d = 62.5d 62.5d + -36f + -2.5f = 0 Combine like terms: -36f + -2.5f = -38.5f 62.5d + -38.5f = 0 Solving 62.5d + -38.5f = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '38.5f' to each side of the equation. 62.5d + -38.5f + 38.5f = 0 + 38.5f Combine like terms: -38.5f + 38.5f = 0.0 62.5d + 0.0 = 0 + 38.5f 62.5d = 0 + 38.5f Remove the zero: 62.5d = 38.5f Divide each side by '62.5'. d = 0.616f Simplifying d = 0.616f
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