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Simplifying -5(4v + -5) + 8v = 2(v + 9) Reorder the terms: -5(-5 + 4v) + 8v = 2(v + 9) (-5 * -5 + 4v * -5) + 8v = 2(v + 9) (25 + -20v) + 8v = 2(v + 9) Combine like terms: -20v + 8v = -12v 25 + -12v = 2(v + 9) Reorder the terms: 25 + -12v = 2(9 + v) 25 + -12v = (9 * 2 + v * 2) 25 + -12v = (18 + 2v) Solving 25 + -12v = 18 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 25 + -12v + -2v = 18 + 2v + -2v Combine like terms: -12v + -2v = -14v 25 + -14v = 18 + 2v + -2v Combine like terms: 2v + -2v = 0 25 + -14v = 18 + 0 25 + -14v = 18 Add '-25' to each side of the equation. 25 + -25 + -14v = 18 + -25 Combine like terms: 25 + -25 = 0 0 + -14v = 18 + -25 -14v = 18 + -25 Combine like terms: 18 + -25 = -7 -14v = -7 Divide each side by '-14'. v = 0.5 Simplifying v = 0.5
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