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Simplifying -3(w + v) + 2(-2v + -1w) = 0 Reorder the terms: -3(v + w) + 2(-2v + -1w) = 0 (v * -3 + w * -3) + 2(-2v + -1w) = 0 (-3v + -3w) + 2(-2v + -1w) = 0 -3v + -3w + (-2v * 2 + -1w * 2) = 0 -3v + -3w + (-4v + -2w) = 0 Reorder the terms: -3v + -4v + -3w + -2w = 0 Combine like terms: -3v + -4v = -7v -7v + -3w + -2w = 0 Combine like terms: -3w + -2w = -5w -7v + -5w = 0 Solving -7v + -5w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5w' to each side of the equation. -7v + -5w + 5w = 0 + 5w Combine like terms: -5w + 5w = 0 -7v + 0 = 0 + 5w -7v = 0 + 5w Remove the zero: -7v = 5w Divide each side by '-7'. v = -0.7142857143w Simplifying v = -0.7142857143w
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