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