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Simplifying 5(wx + -1v) = 9(x + v) Reorder the terms: 5(-1v + wx) = 9(x + v) (-1v * 5 + wx * 5) = 9(x + v) (-5v + 5wx) = 9(x + v) Reorder the terms: -5v + 5wx = 9(v + x) -5v + 5wx = (v * 9 + x * 9) -5v + 5wx = (9v + 9x) Solving -5v + 5wx = 9v + 9x 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. -5v + -9v + 5wx = 9v + -9v + 9x Combine like terms: -5v + -9v = -14v -14v + 5wx = 9v + -9v + 9x Combine like terms: 9v + -9v = 0 -14v + 5wx = 0 + 9x -14v + 5wx = 9x Add '-5wx' to each side of the equation. -14v + 5wx + -5wx = -5wx + 9x Combine like terms: 5wx + -5wx = 0 -14v + 0 = -5wx + 9x -14v = -5wx + 9x Divide each side by '-14'. v = 0.3571428571wx + -0.6428571429x Simplifying v = 0.3571428571wx + -0.6428571429x
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