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Simplifying -9(1 + -10v) + -5(-9v + 10) = 0 (1 * -9 + -10v * -9) + -5(-9v + 10) = 0 (-9 + 90v) + -5(-9v + 10) = 0 Reorder the terms: -9 + 90v + -5(10 + -9v) = 0 -9 + 90v + (10 * -5 + -9v * -5) = 0 -9 + 90v + (-50 + 45v) = 0 Reorder the terms: -9 + -50 + 90v + 45v = 0 Combine like terms: -9 + -50 = -59 -59 + 90v + 45v = 0 Combine like terms: 90v + 45v = 135v -59 + 135v = 0 Solving -59 + 135v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 135v = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 135v = 0 + 59 135v = 0 + 59 Combine like terms: 0 + 59 = 59 135v = 59 Divide each side by '135'. v = 0.437037037 Simplifying v = 0.437037037
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