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Simplifying -2(-2w + v) + -5(4v + 3w) = 0 Reorder the terms: -2(v + -2w) + -5(4v + 3w) = 0 (v * -2 + -2w * -2) + -5(4v + 3w) = 0 (-2v + 4w) + -5(4v + 3w) = 0 -2v + 4w + (4v * -5 + 3w * -5) = 0 -2v + 4w + (-20v + -15w) = 0 Reorder the terms: -2v + -20v + 4w + -15w = 0 Combine like terms: -2v + -20v = -22v -22v + 4w + -15w = 0 Combine like terms: 4w + -15w = -11w -22v + -11w = 0 Solving -22v + -11w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11w' to each side of the equation. -22v + -11w + 11w = 0 + 11w Combine like terms: -11w + 11w = 0 -22v + 0 = 0 + 11w -22v = 0 + 11w Remove the zero: -22v = 11w Divide each side by '-22'. v = -0.5w Simplifying v = -0.5w
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