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Simplifying 9(v + 5) + 10(d + -8) = 0 Reorder the terms: 9(5 + v) + 10(d + -8) = 0 (5 * 9 + v * 9) + 10(d + -8) = 0 (45 + 9v) + 10(d + -8) = 0 Reorder the terms: 45 + 9v + 10(-8 + d) = 0 45 + 9v + (-8 * 10 + d * 10) = 0 45 + 9v + (-80 + 10d) = 0 Reorder the terms: 45 + -80 + 10d + 9v = 0 Combine like terms: 45 + -80 = -35 -35 + 10d + 9v = 0 Solving -35 + 10d + 9v = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 10d + 35 + 9v = 0 + 35 Reorder the terms: -35 + 35 + 10d + 9v = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 10d + 9v = 0 + 35 10d + 9v = 0 + 35 Combine like terms: 0 + 35 = 35 10d + 9v = 35 Add '-9v' to each side of the equation. 10d + 9v + -9v = 35 + -9v Combine like terms: 9v + -9v = 0 10d + 0 = 35 + -9v 10d = 35 + -9v Divide each side by '10'. d = 3.5 + -0.9v Simplifying d = 3.5 + -0.9v
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