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Simplifying -1(-6w + v) + (2v + -1w) = 0 Reorder the terms: -1(v + -6w) + (2v + -1w) = 0 (v * -1 + -6w * -1) + (2v + -1w) = 0 (-1v + 6w) + (2v + -1w) = 0 Remove parenthesis around (2v + -1w) -1v + 6w + 2v + -1w = 0 Reorder the terms: -1v + 2v + 6w + -1w = 0 Combine like terms: -1v + 2v = 1v 1v + 6w + -1w = 0 Combine like terms: 6w + -1w = 5w 1v + 5w = 0 Solving 1v + 5w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5w' to each side of the equation. 1v + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 1v + 0 = 0 + -5w 1v = 0 + -5w Remove the zero: 1v = -5w Divide each side by '1'. v = -5w Simplifying v = -5w
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