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Simplifying 9(wx + -1v) = 3(x + v) Reorder the terms: 9(-1v + wx) = 3(x + v) (-1v * 9 + wx * 9) = 3(x + v) (-9v + 9wx) = 3(x + v) Reorder the terms: -9v + 9wx = 3(v + x) -9v + 9wx = (v * 3 + x * 3) -9v + 9wx = (3v + 3x) Solving -9v + 9wx = 3v + 3x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -9v + -3v + 9wx = 3v + -3v + 3x Combine like terms: -9v + -3v = -12v -12v + 9wx = 3v + -3v + 3x Combine like terms: 3v + -3v = 0 -12v + 9wx = 0 + 3x -12v + 9wx = 3x Add '-9wx' to each side of the equation. -12v + 9wx + -9wx = -9wx + 3x Combine like terms: 9wx + -9wx = 0 -12v + 0 = -9wx + 3x -12v = -9wx + 3x Divide each side by '-12'. v = 0.75wx + -0.25x Simplifying v = 0.75wx + -0.25x
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