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Simplifying 5(wx + -1v) = 3(x + v) Reorder the terms: 5(-1v + wx) = 3(x + v) (-1v * 5 + wx * 5) = 3(x + v) (-5v + 5wx) = 3(x + v) Reorder the terms: -5v + 5wx = 3(v + x) -5v + 5wx = (v * 3 + x * 3) -5v + 5wx = (3v + 3x) Solving -5v + 5wx = 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. -5v + -3v + 5wx = 3v + -3v + 3x Combine like terms: -5v + -3v = -8v -8v + 5wx = 3v + -3v + 3x Combine like terms: 3v + -3v = 0 -8v + 5wx = 0 + 3x -8v + 5wx = 3x Add '-5wx' to each side of the equation. -8v + 5wx + -5wx = -5wx + 3x Combine like terms: 5wx + -5wx = 0 -8v + 0 = -5wx + 3x -8v = -5wx + 3x Divide each side by '-8'. v = 0.625wx + -0.375x Simplifying v = 0.625wx + -0.375x
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