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Simplifying 2v + -2w + 5 + 7w = 0 Reorder the terms: 5 + 2v + -2w + 7w = 0 Combine like terms: -2w + 7w = 5w 5 + 2v + 5w = 0 Solving 5 + 2v + 5w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2v + -5 + 5w = 0 + -5 Reorder the terms: 5 + -5 + 2v + 5w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2v + 5w = 0 + -5 2v + 5w = 0 + -5 Combine like terms: 0 + -5 = -5 2v + 5w = -5 Add '-5w' to each side of the equation. 2v + 5w + -5w = -5 + -5w Combine like terms: 5w + -5w = 0 2v + 0 = -5 + -5w 2v = -5 + -5w Divide each side by '2'. v = -2.5 + -2.5w Simplifying v = -2.5 + -2.5w
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