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Simplifying 9(wx + -1v) = 6(x + v) Reorder the terms: 9(-1v + wx) = 6(x + v) (-1v * 9 + wx * 9) = 6(x + v) (-9v + 9wx) = 6(x + v) Reorder the terms: -9v + 9wx = 6(v + x) -9v + 9wx = (v * 6 + x * 6) -9v + 9wx = (6v + 6x) Solving -9v + 9wx = 6v + 6x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -9v + -6v + 9wx = 6v + -6v + 6x Combine like terms: -9v + -6v = -15v -15v + 9wx = 6v + -6v + 6x Combine like terms: 6v + -6v = 0 -15v + 9wx = 0 + 6x -15v + 9wx = 6x Add '-9wx' to each side of the equation. -15v + 9wx + -9wx = -9wx + 6x Combine like terms: 9wx + -9wx = 0 -15v + 0 = -9wx + 6x -15v = -9wx + 6x Divide each side by '-15'. v = 0.6wx + -0.4x Simplifying v = 0.6wx + -0.4x
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