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Simplifying -4(2v + -1w) + -1(-6w + v) = 0 (2v * -4 + -1w * -4) + -1(-6w + v) = 0 (-8v + 4w) + -1(-6w + v) = 0 Reorder the terms: -8v + 4w + -1(v + -6w) = 0 -8v + 4w + (v * -1 + -6w * -1) = 0 -8v + 4w + (-1v + 6w) = 0 Reorder the terms: -8v + -1v + 4w + 6w = 0 Combine like terms: -8v + -1v = -9v -9v + 4w + 6w = 0 Combine like terms: 4w + 6w = 10w -9v + 10w = 0 Solving -9v + 10w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10w' to each side of the equation. -9v + 10w + -10w = 0 + -10w Combine like terms: 10w + -10w = 0 -9v + 0 = 0 + -10w -9v = 0 + -10w Remove the zero: -9v = -10w Divide each side by '-9'. v = 1.111111111w Simplifying v = 1.111111111w
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