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Simplifying 5(wx + v) = 8(x + v) Reorder the terms: 5(v + wx) = 8(x + v) (v * 5 + wx * 5) = 8(x + v) (5v + 5wx) = 8(x + v) Reorder the terms: 5v + 5wx = 8(v + x) 5v + 5wx = (v * 8 + x * 8) 5v + 5wx = (8v + 8x) Solving 5v + 5wx = 8v + 8x Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 5v + -8v + 5wx = 8v + -8v + 8x Combine like terms: 5v + -8v = -3v -3v + 5wx = 8v + -8v + 8x Combine like terms: 8v + -8v = 0 -3v + 5wx = 0 + 8x -3v + 5wx = 8x Add '-5wx' to each side of the equation. -3v + 5wx + -5wx = -5wx + 8x Combine like terms: 5wx + -5wx = 0 -3v + 0 = -5wx + 8x -3v = -5wx + 8x Divide each side by '-3'. v = 1.666666667wx + -2.666666667x Simplifying v = 1.666666667wx + -2.666666667x
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