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Simplifying 5(wx + -1v) = 8(x + v) Reorder the terms: 5(-1v + wx) = 8(x + v) (-1v * 5 + wx * 5) = 8(x + v) (-5v + 5wx) = 8(x + v) Reorder the terms: -5v + 5wx = 8(v + x) -5v + 5wx = (v * 8 + x * 8) -5v + 5wx = (8v + 8x) Solving -5v + 5wx = 8v + 8x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -5v + -8v + 5wx = 8v + -8v + 8x Combine like terms: -5v + -8v = -13v -13v + 5wx = 8v + -8v + 8x Combine like terms: 8v + -8v = 0 -13v + 5wx = 0 + 8x -13v + 5wx = 8x Add '-5wx' to each side of the equation. -13v + 5wx + -5wx = -5wx + 8x Combine like terms: 5wx + -5wx = 0 -13v + 0 = -5wx + 8x -13v = -5wx + 8x Divide each side by '-13'. v = 0.3846153846wx + -0.6153846154x Simplifying v = 0.3846153846wx + -0.6153846154x
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