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Simplifying -4v + 25 = -7(5v + 2) + -8v Reorder the terms: 25 + -4v = -7(5v + 2) + -8v Reorder the terms: 25 + -4v = -7(2 + 5v) + -8v 25 + -4v = (2 * -7 + 5v * -7) + -8v 25 + -4v = (-14 + -35v) + -8v Combine like terms: -35v + -8v = -43v 25 + -4v = -14 + -43v Solving 25 + -4v = -14 + -43v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '43v' to each side of the equation. 25 + -4v + 43v = -14 + -43v + 43v Combine like terms: -4v + 43v = 39v 25 + 39v = -14 + -43v + 43v Combine like terms: -43v + 43v = 0 25 + 39v = -14 + 0 25 + 39v = -14 Add '-25' to each side of the equation. 25 + -25 + 39v = -14 + -25 Combine like terms: 25 + -25 = 0 0 + 39v = -14 + -25 39v = -14 + -25 Combine like terms: -14 + -25 = -39 39v = -39 Divide each side by '39'. v = -1 Simplifying v = -1
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