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Simplifying 7(wx + -1v) = 6(x + v) Reorder the terms: 7(-1v + wx) = 6(x + v) (-1v * 7 + wx * 7) = 6(x + v) (-7v + 7wx) = 6(x + v) Reorder the terms: -7v + 7wx = 6(v + x) -7v + 7wx = (v * 6 + x * 6) -7v + 7wx = (6v + 6x) Solving -7v + 7wx = 6v + 6x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -7v + -6v + 7wx = 6v + -6v + 6x Combine like terms: -7v + -6v = -13v -13v + 7wx = 6v + -6v + 6x Combine like terms: 6v + -6v = 0 -13v + 7wx = 0 + 6x -13v + 7wx = 6x Add '-7wx' to each side of the equation. -13v + 7wx + -7wx = -7wx + 6x Combine like terms: 7wx + -7wx = 0 -13v + 0 = -7wx + 6x -13v = -7wx + 6x Divide each side by '-13'. v = 0.5384615385wx + -0.4615384615x Simplifying v = 0.5384615385wx + -0.4615384615x
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