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Simplifying 7(wx + -1v) = 3(x + v) Reorder the terms: 7(-1v + wx) = 3(x + v) (-1v * 7 + wx * 7) = 3(x + v) (-7v + 7wx) = 3(x + v) Reorder the terms: -7v + 7wx = 3(v + x) -7v + 7wx = (v * 3 + x * 3) -7v + 7wx = (3v + 3x) Solving -7v + 7wx = 3v + 3x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -7v + -3v + 7wx = 3v + -3v + 3x Combine like terms: -7v + -3v = -10v -10v + 7wx = 3v + -3v + 3x Combine like terms: 3v + -3v = 0 -10v + 7wx = 0 + 3x -10v + 7wx = 3x Add '-7wx' to each side of the equation. -10v + 7wx + -7wx = -7wx + 3x Combine like terms: 7wx + -7wx = 0 -10v + 0 = -7wx + 3x -10v = -7wx + 3x Divide each side by '-10'. v = 0.7wx + -0.3x Simplifying v = 0.7wx + -0.3x
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