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Simplifying 5(wx + -1v) = 4(x + v) Reorder the terms: 5(-1v + wx) = 4(x + v) (-1v * 5 + wx * 5) = 4(x + v) (-5v + 5wx) = 4(x + v) Reorder the terms: -5v + 5wx = 4(v + x) -5v + 5wx = (v * 4 + x * 4) -5v + 5wx = (4v + 4x) Solving -5v + 5wx = 4v + 4x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -5v + -4v + 5wx = 4v + -4v + 4x Combine like terms: -5v + -4v = -9v -9v + 5wx = 4v + -4v + 4x Combine like terms: 4v + -4v = 0 -9v + 5wx = 0 + 4x -9v + 5wx = 4x Add '-5wx' to each side of the equation. -9v + 5wx + -5wx = -5wx + 4x Combine like terms: 5wx + -5wx = 0 -9v + 0 = -5wx + 4x -9v = -5wx + 4x Divide each side by '-9'. v = 0.5555555556wx + -0.4444444444x Simplifying v = 0.5555555556wx + -0.4444444444x
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