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Simplifying -5(-8v + -2) = -9(-4v + 9) + -9v Reorder the terms: -5(-2 + -8v) = -9(-4v + 9) + -9v (-2 * -5 + -8v * -5) = -9(-4v + 9) + -9v (10 + 40v) = -9(-4v + 9) + -9v Reorder the terms: 10 + 40v = -9(9 + -4v) + -9v 10 + 40v = (9 * -9 + -4v * -9) + -9v 10 + 40v = (-81 + 36v) + -9v Combine like terms: 36v + -9v = 27v 10 + 40v = -81 + 27v Solving 10 + 40v = -81 + 27v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27v' to each side of the equation. 10 + 40v + -27v = -81 + 27v + -27v Combine like terms: 40v + -27v = 13v 10 + 13v = -81 + 27v + -27v Combine like terms: 27v + -27v = 0 10 + 13v = -81 + 0 10 + 13v = -81 Add '-10' to each side of the equation. 10 + -10 + 13v = -81 + -10 Combine like terms: 10 + -10 = 0 0 + 13v = -81 + -10 13v = -81 + -10 Combine like terms: -81 + -10 = -91 13v = -91 Divide each side by '13'. v = -7 Simplifying v = -7
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