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Simplifying -9(1 + -4v) = 25 + 2v (1 * -9 + -4v * -9) = 25 + 2v (-9 + 36v) = 25 + 2v Solving -9 + 36v = 25 + 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. -9 + 36v + -2v = 25 + 2v + -2v Combine like terms: 36v + -2v = 34v -9 + 34v = 25 + 2v + -2v Combine like terms: 2v + -2v = 0 -9 + 34v = 25 + 0 -9 + 34v = 25 Add '9' to each side of the equation. -9 + 9 + 34v = 25 + 9 Combine like terms: -9 + 9 = 0 0 + 34v = 25 + 9 34v = 25 + 9 Combine like terms: 25 + 9 = 34 34v = 34 Divide each side by '34'. v = 1 Simplifying v = 1
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