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Simplifying -1(-6v + -1w) = 3(4w + -5v) (-6v * -1 + -1w * -1) = 3(4w + -5v) (6v + 1w) = 3(4w + -5v) Reorder the terms: 6v + 1w = 3(-5v + 4w) 6v + 1w = (-5v * 3 + 4w * 3) 6v + 1w = (-15v + 12w) Solving 6v + 1w = -15v + 12w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. 6v + 15v + 1w = -15v + 15v + 12w Combine like terms: 6v + 15v = 21v 21v + 1w = -15v + 15v + 12w Combine like terms: -15v + 15v = 0 21v + 1w = 0 + 12w 21v + 1w = 12w Add '-1w' to each side of the equation. 21v + 1w + -1w = 12w + -1w Combine like terms: 1w + -1w = 0 21v + 0 = 12w + -1w 21v = 12w + -1w Combine like terms: 12w + -1w = 11w 21v = 11w Divide each side by '21'. v = 0.5238095238w Simplifying v = 0.5238095238w
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