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Simplifying 2 + (3v + 1) + 1 + -1(v + -1w) = 0 Reorder the terms: 2 + (1 + 3v) + 1 + -1(v + -1w) = 0 Remove parenthesis around (1 + 3v) 2 + 1 + 3v + 1 + -1(v + -1w) = 0 2 + 1 + 3v + 1 + (v * -1 + -1w * -1) = 0 2 + 1 + 3v + 1 + (-1v + 1w) = 0 Reorder the terms: 2 + 1 + 1 + 3v + -1v + 1w = 0 Combine like terms: 2 + 1 = 3 3 + 1 + 3v + -1v + 1w = 0 Combine like terms: 3 + 1 = 4 4 + 3v + -1v + 1w = 0 Combine like terms: 3v + -1v = 2v 4 + 2v + 1w = 0 Solving 4 + 2v + 1w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2v + -4 + 1w = 0 + -4 Reorder the terms: 4 + -4 + 2v + 1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2v + 1w = 0 + -4 2v + 1w = 0 + -4 Combine like terms: 0 + -4 = -4 2v + 1w = -4 Add '-1w' to each side of the equation. 2v + 1w + -1w = -4 + -1w Combine like terms: 1w + -1w = 0 2v + 0 = -4 + -1w 2v = -4 + -1w Divide each side by '2'. v = -2 + -0.5w Simplifying v = -2 + -0.5w
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