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Simplifying -3(-3w + v) + 2(4v + -3w) = 0 Reorder the terms: -3(v + -3w) + 2(4v + -3w) = 0 (v * -3 + -3w * -3) + 2(4v + -3w) = 0 (-3v + 9w) + 2(4v + -3w) = 0 -3v + 9w + (4v * 2 + -3w * 2) = 0 -3v + 9w + (8v + -6w) = 0 Reorder the terms: -3v + 8v + 9w + -6w = 0 Combine like terms: -3v + 8v = 5v 5v + 9w + -6w = 0 Combine like terms: 9w + -6w = 3w 5v + 3w = 0 Solving 5v + 3w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3w' to each side of the equation. 5v + 3w + -3w = 0 + -3w Combine like terms: 3w + -3w = 0 5v + 0 = 0 + -3w 5v = 0 + -3w Remove the zero: 5v = -3w Divide each side by '5'. v = -0.6w Simplifying v = -0.6w
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