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Simplifying w(2v + 5) = 3w(v + -1) Reorder the terms: w(5 + 2v) = 3w(v + -1) (5 * w + 2v * w) = 3w(v + -1) Reorder the terms: (2vw + 5w) = 3w(v + -1) (2vw + 5w) = 3w(v + -1) Reorder the terms: 2vw + 5w = 3w(-1 + v) 2vw + 5w = (-1 * 3w + v * 3w) Reorder the terms: 2vw + 5w = (3vw + -3w) 2vw + 5w = (3vw + -3w) Solving 2vw + 5w = 3vw + -3w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3vw' to each side of the equation. 2vw + -3vw + 5w = 3vw + -3vw + -3w Combine like terms: 2vw + -3vw = -1vw -1vw + 5w = 3vw + -3vw + -3w Combine like terms: 3vw + -3vw = 0 -1vw + 5w = 0 + -3w -1vw + 5w = -3w Add '-5w' to each side of the equation. -1vw + 5w + -5w = -3w + -5w Combine like terms: 5w + -5w = 0 -1vw + 0 = -3w + -5w -1vw = -3w + -5w Combine like terms: -3w + -5w = -8w -1vw = -8w Divide each side by '-1w'. v = 8 Simplifying v = 8
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