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Simplifying 2(wx + -1v) = 5(x + v) Reorder the terms: 2(-1v + wx) = 5(x + v) (-1v * 2 + wx * 2) = 5(x + v) (-2v + 2wx) = 5(x + v) Reorder the terms: -2v + 2wx = 5(v + x) -2v + 2wx = (v * 5 + x * 5) -2v + 2wx = (5v + 5x) Solving -2v + 2wx = 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. -2v + -5v + 2wx = 5v + -5v + 5x Combine like terms: -2v + -5v = -7v -7v + 2wx = 5v + -5v + 5x Combine like terms: 5v + -5v = 0 -7v + 2wx = 0 + 5x -7v + 2wx = 5x Add '-2wx' to each side of the equation. -7v + 2wx + -2wx = -2wx + 5x Combine like terms: 2wx + -2wx = 0 -7v + 0 = -2wx + 5x -7v = -2wx + 5x Divide each side by '-7'. v = 0.2857142857wx + -0.7142857143x Simplifying v = 0.2857142857wx + -0.7142857143x
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