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Simplifying 3(wx + -1v) = 7(x + v) Reorder the terms: 3(-1v + wx) = 7(x + v) (-1v * 3 + wx * 3) = 7(x + v) (-3v + 3wx) = 7(x + v) Reorder the terms: -3v + 3wx = 7(v + x) -3v + 3wx = (v * 7 + x * 7) -3v + 3wx = (7v + 7x) Solving -3v + 3wx = 7v + 7x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -3v + -7v + 3wx = 7v + -7v + 7x Combine like terms: -3v + -7v = -10v -10v + 3wx = 7v + -7v + 7x Combine like terms: 7v + -7v = 0 -10v + 3wx = 0 + 7x -10v + 3wx = 7x Add '-3wx' to each side of the equation. -10v + 3wx + -3wx = -3wx + 7x Combine like terms: 3wx + -3wx = 0 -10v + 0 = -3wx + 7x -10v = -3wx + 7x Divide each side by '-10'. v = 0.3wx + -0.7x Simplifying v = 0.3wx + -0.7x
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