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Simplifying 4(wx + -1v) = 9(x + v) Reorder the terms: 4(-1v + wx) = 9(x + v) (-1v * 4 + wx * 4) = 9(x + v) (-4v + 4wx) = 9(x + v) Reorder the terms: -4v + 4wx = 9(v + x) -4v + 4wx = (v * 9 + x * 9) -4v + 4wx = (9v + 9x) Solving -4v + 4wx = 9v + 9x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -4v + -9v + 4wx = 9v + -9v + 9x Combine like terms: -4v + -9v = -13v -13v + 4wx = 9v + -9v + 9x Combine like terms: 9v + -9v = 0 -13v + 4wx = 0 + 9x -13v + 4wx = 9x Add '-4wx' to each side of the equation. -13v + 4wx + -4wx = -4wx + 9x Combine like terms: 4wx + -4wx = 0 -13v + 0 = -4wx + 9x -13v = -4wx + 9x Divide each side by '-13'. v = 0.3076923077wx + -0.6923076923x Simplifying v = 0.3076923077wx + -0.6923076923x
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