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Simplifying -1(-6v + -1w) + 3(4w + -5v) = 0 (-6v * -1 + -1w * -1) + 3(4w + -5v) = 0 (6v + 1w) + 3(4w + -5v) = 0 Reorder the terms: 6v + 1w + 3(-5v + 4w) = 0 6v + 1w + (-5v * 3 + 4w * 3) = 0 6v + 1w + (-15v + 12w) = 0 Reorder the terms: 6v + -15v + 1w + 12w = 0 Combine like terms: 6v + -15v = -9v -9v + 1w + 12w = 0 Combine like terms: 1w + 12w = 13w -9v + 13w = 0 Solving -9v + 13w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13w' to each side of the equation. -9v + 13w + -13w = 0 + -13w Combine like terms: 13w + -13w = 0 -9v + 0 = 0 + -13w -9v = 0 + -13w Remove the zero: -9v = -13w Divide each side by '-9'. v = 1.444444444w Simplifying v = 1.444444444w
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