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Simplifying -9v + -25 = 5(v + 9) Reorder the terms: -25 + -9v = 5(v + 9) Reorder the terms: -25 + -9v = 5(9 + v) -25 + -9v = (9 * 5 + v * 5) -25 + -9v = (45 + 5v) Solving -25 + -9v = 45 + 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 = 45 + 5v + -5v Combine like terms: -9v + -5v = -14v -25 + -14v = 45 + 5v + -5v Combine like terms: 5v + -5v = 0 -25 + -14v = 45 + 0 -25 + -14v = 45 Add '25' to each side of the equation. -25 + 25 + -14v = 45 + 25 Combine like terms: -25 + 25 = 0 0 + -14v = 45 + 25 -14v = 45 + 25 Combine like terms: 45 + 25 = 70 -14v = 70 Divide each side by '-14'. v = -5 Simplifying v = -5
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