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Simplifying 8(wx + -1v) = 3(x + v) Reorder the terms: 8(-1v + wx) = 3(x + v) (-1v * 8 + wx * 8) = 3(x + v) (-8v + 8wx) = 3(x + v) Reorder the terms: -8v + 8wx = 3(v + x) -8v + 8wx = (v * 3 + x * 3) -8v + 8wx = (3v + 3x) Solving -8v + 8wx = 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. -8v + -3v + 8wx = 3v + -3v + 3x Combine like terms: -8v + -3v = -11v -11v + 8wx = 3v + -3v + 3x Combine like terms: 3v + -3v = 0 -11v + 8wx = 0 + 3x -11v + 8wx = 3x Add '-8wx' to each side of the equation. -11v + 8wx + -8wx = -8wx + 3x Combine like terms: 8wx + -8wx = 0 -11v + 0 = -8wx + 3x -11v = -8wx + 3x Divide each side by '-11'. v = 0.7272727273wx + -0.2727272727x Simplifying v = 0.7272727273wx + -0.2727272727x
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