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Simplifying 2(4d + 5h) + -1(9h + -5d) = 0 (4d * 2 + 5h * 2) + -1(9h + -5d) = 0 (8d + 10h) + -1(9h + -5d) = 0 Reorder the terms: 8d + 10h + -1(-5d + 9h) = 0 8d + 10h + (-5d * -1 + 9h * -1) = 0 8d + 10h + (5d + -9h) = 0 Reorder the terms: 8d + 5d + 10h + -9h = 0 Combine like terms: 8d + 5d = 13d 13d + 10h + -9h = 0 Combine like terms: 10h + -9h = 1h 13d + 1h = 0 Solving 13d + 1h = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1h' to each side of the equation. 13d + 1h + -1h = 0 + -1h Combine like terms: 1h + -1h = 0 13d + 0 = 0 + -1h 13d = 0 + -1h Remove the zero: 13d = -1h Divide each side by '13'. d = -0.07692307692h Simplifying d = -0.07692307692h
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