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Simplifying -1(v + w) + 5(w + -6v) = 0 (v * -1 + w * -1) + 5(w + -6v) = 0 (-1v + -1w) + 5(w + -6v) = 0 Reorder the terms: -1v + -1w + 5(-6v + w) = 0 -1v + -1w + (-6v * 5 + w * 5) = 0 -1v + -1w + (-30v + 5w) = 0 Reorder the terms: -1v + -30v + -1w + 5w = 0 Combine like terms: -1v + -30v = -31v -31v + -1w + 5w = 0 Combine like terms: -1w + 5w = 4w -31v + 4w = 0 Solving -31v + 4w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4w' to each side of the equation. -31v + 4w + -4w = 0 + -4w Combine like terms: 4w + -4w = 0 -31v + 0 = 0 + -4w -31v = 0 + -4w Remove the zero: -31v = -4w Divide each side by '-31'. v = 0.1290322581w Simplifying v = 0.1290322581w
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