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Simplifying 5(wx + -1v) = 2(x + v) Reorder the terms: 5(-1v + wx) = 2(x + v) (-1v * 5 + wx * 5) = 2(x + v) (-5v + 5wx) = 2(x + v) Reorder the terms: -5v + 5wx = 2(v + x) -5v + 5wx = (v * 2 + x * 2) -5v + 5wx = (2v + 2x) Solving -5v + 5wx = 2v + 2x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -5v + -2v + 5wx = 2v + -2v + 2x Combine like terms: -5v + -2v = -7v -7v + 5wx = 2v + -2v + 2x Combine like terms: 2v + -2v = 0 -7v + 5wx = 0 + 2x -7v + 5wx = 2x Add '-5wx' to each side of the equation. -7v + 5wx + -5wx = -5wx + 2x Combine like terms: 5wx + -5wx = 0 -7v + 0 = -5wx + 2x -7v = -5wx + 2x Divide each side by '-7'. v = 0.7142857143wx + -0.2857142857x Simplifying v = 0.7142857143wx + -0.2857142857x
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