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Simplifying 8(wx + -1v) = 9(x + v) Reorder the terms: 8(-1v + wx) = 9(x + v) (-1v * 8 + wx * 8) = 9(x + v) (-8v + 8wx) = 9(x + v) Reorder the terms: -8v + 8wx = 9(v + x) -8v + 8wx = (v * 9 + x * 9) -8v + 8wx = (9v + 9x) Solving -8v + 8wx = 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. -8v + -9v + 8wx = 9v + -9v + 9x Combine like terms: -8v + -9v = -17v -17v + 8wx = 9v + -9v + 9x Combine like terms: 9v + -9v = 0 -17v + 8wx = 0 + 9x -17v + 8wx = 9x Add '-8wx' to each side of the equation. -17v + 8wx + -8wx = -8wx + 9x Combine like terms: 8wx + -8wx = 0 -17v + 0 = -8wx + 9x -17v = -8wx + 9x Divide each side by '-17'. v = 0.4705882353wx + -0.5294117647x Simplifying v = 0.4705882353wx + -0.5294117647x
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