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Simplifying 5(wx + v) = 9(x + v) Reorder the terms: 5(v + wx) = 9(x + v) (v * 5 + wx * 5) = 9(x + v) (5v + 5wx) = 9(x + v) Reorder the terms: 5v + 5wx = 9(v + x) 5v + 5wx = (v * 9 + x * 9) 5v + 5wx = (9v + 9x) Solving 5v + 5wx = 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. 5v + -9v + 5wx = 9v + -9v + 9x Combine like terms: 5v + -9v = -4v -4v + 5wx = 9v + -9v + 9x Combine like terms: 9v + -9v = 0 -4v + 5wx = 0 + 9x -4v + 5wx = 9x Add '-5wx' to each side of the equation. -4v + 5wx + -5wx = -5wx + 9x Combine like terms: 5wx + -5wx = 0 -4v + 0 = -5wx + 9x -4v = -5wx + 9x Divide each side by '-4'. v = 1.25wx + -2.25x Simplifying v = 1.25wx + -2.25x
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