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Simplifying 6(2w + v) + -4(2v + 1w) = 0 Reorder the terms: 6(v + 2w) + -4(2v + 1w) = 0 (v * 6 + 2w * 6) + -4(2v + 1w) = 0 (6v + 12w) + -4(2v + 1w) = 0 6v + 12w + (2v * -4 + 1w * -4) = 0 6v + 12w + (-8v + -4w) = 0 Reorder the terms: 6v + -8v + 12w + -4w = 0 Combine like terms: 6v + -8v = -2v -2v + 12w + -4w = 0 Combine like terms: 12w + -4w = 8w -2v + 8w = 0 Solving -2v + 8w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8w' to each side of the equation. -2v + 8w + -8w = 0 + -8w Combine like terms: 8w + -8w = 0 -2v + 0 = 0 + -8w -2v = 0 + -8w Remove the zero: -2v = -8w Divide each side by '-2'. v = 4w Simplifying v = 4w
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