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Simplifying 3(wx + -1v) = 4(x + v) Reorder the terms: 3(-1v + wx) = 4(x + v) (-1v * 3 + wx * 3) = 4(x + v) (-3v + 3wx) = 4(x + v) Reorder the terms: -3v + 3wx = 4(v + x) -3v + 3wx = (v * 4 + x * 4) -3v + 3wx = (4v + 4x) Solving -3v + 3wx = 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. -3v + -4v + 3wx = 4v + -4v + 4x Combine like terms: -3v + -4v = -7v -7v + 3wx = 4v + -4v + 4x Combine like terms: 4v + -4v = 0 -7v + 3wx = 0 + 4x -7v + 3wx = 4x Add '-3wx' to each side of the equation. -7v + 3wx + -3wx = -3wx + 4x Combine like terms: 3wx + -3wx = 0 -7v + 0 = -3wx + 4x -7v = -3wx + 4x Divide each side by '-7'. v = 0.4285714286wx + -0.5714285714x Simplifying v = 0.4285714286wx + -0.5714285714x
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