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Simplifying -4(2w + v) + -2(2v + w) = 0 Reorder the terms: -4(v + 2w) + -2(2v + w) = 0 (v * -4 + 2w * -4) + -2(2v + w) = 0 (-4v + -8w) + -2(2v + w) = 0 -4v + -8w + (2v * -2 + w * -2) = 0 -4v + -8w + (-4v + -2w) = 0 Reorder the terms: -4v + -4v + -8w + -2w = 0 Combine like terms: -4v + -4v = -8v -8v + -8w + -2w = 0 Combine like terms: -8w + -2w = -10w -8v + -10w = 0 Solving -8v + -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. -8v + -10w + 10w = 0 + 10w Combine like terms: -10w + 10w = 0 -8v + 0 = 0 + 10w -8v = 0 + 10w Remove the zero: -8v = 10w Divide each side by '-8'. v = -1.25w Simplifying v = -1.25w
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