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Simplifying -5v + -17 = 9(v + -5) Reorder the terms: -17 + -5v = 9(v + -5) Reorder the terms: -17 + -5v = 9(-5 + v) -17 + -5v = (-5 * 9 + v * 9) -17 + -5v = (-45 + 9v) Solving -17 + -5v = -45 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -17 + -5v + -9v = -45 + 9v + -9v Combine like terms: -5v + -9v = -14v -17 + -14v = -45 + 9v + -9v Combine like terms: 9v + -9v = 0 -17 + -14v = -45 + 0 -17 + -14v = -45 Add '17' to each side of the equation. -17 + 17 + -14v = -45 + 17 Combine like terms: -17 + 17 = 0 0 + -14v = -45 + 17 -14v = -45 + 17 Combine like terms: -45 + 17 = -28 -14v = -28 Divide each side by '-14'. v = 2 Simplifying v = 2
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