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Simplifying 4(wx + -1v) = 7(x + v) Reorder the terms: 4(-1v + wx) = 7(x + v) (-1v * 4 + wx * 4) = 7(x + v) (-4v + 4wx) = 7(x + v) Reorder the terms: -4v + 4wx = 7(v + x) -4v + 4wx = (v * 7 + x * 7) -4v + 4wx = (7v + 7x) Solving -4v + 4wx = 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. -4v + -7v + 4wx = 7v + -7v + 7x Combine like terms: -4v + -7v = -11v -11v + 4wx = 7v + -7v + 7x Combine like terms: 7v + -7v = 0 -11v + 4wx = 0 + 7x -11v + 4wx = 7x Add '-4wx' to each side of the equation. -11v + 4wx + -4wx = -4wx + 7x Combine like terms: 4wx + -4wx = 0 -11v + 0 = -4wx + 7x -11v = -4wx + 7x Divide each side by '-11'. v = 0.3636363636wx + -0.6363636364x Simplifying v = 0.3636363636wx + -0.6363636364x
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