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Simplifying -1(2w + v) + -2(2v + 6w) = 0 Reorder the terms: -1(v + 2w) + -2(2v + 6w) = 0 (v * -1 + 2w * -1) + -2(2v + 6w) = 0 (-1v + -2w) + -2(2v + 6w) = 0 -1v + -2w + (2v * -2 + 6w * -2) = 0 -1v + -2w + (-4v + -12w) = 0 Reorder the terms: -1v + -4v + -2w + -12w = 0 Combine like terms: -1v + -4v = -5v -5v + -2w + -12w = 0 Combine like terms: -2w + -12w = -14w -5v + -14w = 0 Solving -5v + -14w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14w' to each side of the equation. -5v + -14w + 14w = 0 + 14w Combine like terms: -14w + 14w = 0 -5v + 0 = 0 + 14w -5v = 0 + 14w Remove the zero: -5v = 14w Divide each side by '-5'. v = -2.8w Simplifying v = -2.8w
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