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Simplifying 4(wx + -1v) = 5(x + v) Reorder the terms: 4(-1v + wx) = 5(x + v) (-1v * 4 + wx * 4) = 5(x + v) (-4v + 4wx) = 5(x + v) Reorder the terms: -4v + 4wx = 5(v + x) -4v + 4wx = (v * 5 + x * 5) -4v + 4wx = (5v + 5x) Solving -4v + 4wx = 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. -4v + -5v + 4wx = 5v + -5v + 5x Combine like terms: -4v + -5v = -9v -9v + 4wx = 5v + -5v + 5x Combine like terms: 5v + -5v = 0 -9v + 4wx = 0 + 5x -9v + 4wx = 5x Add '-4wx' to each side of the equation. -9v + 4wx + -4wx = -4wx + 5x Combine like terms: 4wx + -4wx = 0 -9v + 0 = -4wx + 5x -9v = -4wx + 5x Divide each side by '-9'. v = 0.4444444444wx + -0.5555555556x Simplifying v = 0.4444444444wx + -0.5555555556x
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