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