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