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Simplifying 8(wx + -1v) = 7(x + v) Reorder the terms: 8(-1v + wx) = 7(x + v) (-1v * 8 + wx * 8) = 7(x + v) (-8v + 8wx) = 7(x + v) Reorder the terms: -8v + 8wx = 7(v + x) -8v + 8wx = (v * 7 + x * 7) -8v + 8wx = (7v + 7x) Solving -8v + 8wx = 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. -8v + -7v + 8wx = 7v + -7v + 7x Combine like terms: -8v + -7v = -15v -15v + 8wx = 7v + -7v + 7x Combine like terms: 7v + -7v = 0 -15v + 8wx = 0 + 7x -15v + 8wx = 7x Add '-8wx' to each side of the equation. -15v + 8wx + -8wx = -8wx + 7x Combine like terms: 8wx + -8wx = 0 -15v + 0 = -8wx + 7x -15v = -8wx + 7x Divide each side by '-15'. v = 0.5333333333wx + -0.4666666667x Simplifying v = 0.5333333333wx + -0.4666666667x
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