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Simplifying -9v + 25 = -5(v + -1) Reorder the terms: 25 + -9v = -5(v + -1) Reorder the terms: 25 + -9v = -5(-1 + v) 25 + -9v = (-1 * -5 + v * -5) 25 + -9v = (5 + -5v) Solving 25 + -9v = 5 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 25 + -9v + 5v = 5 + -5v + 5v Combine like terms: -9v + 5v = -4v 25 + -4v = 5 + -5v + 5v Combine like terms: -5v + 5v = 0 25 + -4v = 5 + 0 25 + -4v = 5 Add '-25' to each side of the equation. 25 + -25 + -4v = 5 + -25 Combine like terms: 25 + -25 = 0 0 + -4v = 5 + -25 -4v = 5 + -25 Combine like terms: 5 + -25 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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