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Simplifying 7(wx + -1v) = 5(x + v) Reorder the terms: 7(-1v + wx) = 5(x + v) (-1v * 7 + wx * 7) = 5(x + v) (-7v + 7wx) = 5(x + v) Reorder the terms: -7v + 7wx = 5(v + x) -7v + 7wx = (v * 5 + x * 5) -7v + 7wx = (5v + 5x) Solving -7v + 7wx = 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. -7v + -5v + 7wx = 5v + -5v + 5x Combine like terms: -7v + -5v = -12v -12v + 7wx = 5v + -5v + 5x Combine like terms: 5v + -5v = 0 -12v + 7wx = 0 + 5x -12v + 7wx = 5x Add '-7wx' to each side of the equation. -12v + 7wx + -7wx = -7wx + 5x Combine like terms: 7wx + -7wx = 0 -12v + 0 = -7wx + 5x -12v = -7wx + 5x Divide each side by '-12'. v = 0.5833333333wx + -0.4166666667x Simplifying v = 0.5833333333wx + -0.4166666667x
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