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Simplifying -5(-4v + 5) + -8v = 4(v + -5) + -9 Reorder the terms: -5(5 + -4v) + -8v = 4(v + -5) + -9 (5 * -5 + -4v * -5) + -8v = 4(v + -5) + -9 (-25 + 20v) + -8v = 4(v + -5) + -9 Combine like terms: 20v + -8v = 12v -25 + 12v = 4(v + -5) + -9 Reorder the terms: -25 + 12v = 4(-5 + v) + -9 -25 + 12v = (-5 * 4 + v * 4) + -9 -25 + 12v = (-20 + 4v) + -9 Reorder the terms: -25 + 12v = -20 + -9 + 4v Combine like terms: -20 + -9 = -29 -25 + 12v = -29 + 4v Solving -25 + 12v = -29 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -25 + 12v + -4v = -29 + 4v + -4v Combine like terms: 12v + -4v = 8v -25 + 8v = -29 + 4v + -4v Combine like terms: 4v + -4v = 0 -25 + 8v = -29 + 0 -25 + 8v = -29 Add '25' to each side of the equation. -25 + 25 + 8v = -29 + 25 Combine like terms: -25 + 25 = 0 0 + 8v = -29 + 25 8v = -29 + 25 Combine like terms: -29 + 25 = -4 8v = -4 Divide each side by '8'. v = -0.5 Simplifying v = -0.5
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