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Simplifying -3(3w + -1v) + 2(6v + -6w) = 0 Reorder the terms: -3(-1v + 3w) + 2(6v + -6w) = 0 (-1v * -3 + 3w * -3) + 2(6v + -6w) = 0 (3v + -9w) + 2(6v + -6w) = 0 3v + -9w + (6v * 2 + -6w * 2) = 0 3v + -9w + (12v + -12w) = 0 Reorder the terms: 3v + 12v + -9w + -12w = 0 Combine like terms: 3v + 12v = 15v 15v + -9w + -12w = 0 Combine like terms: -9w + -12w = -21w 15v + -21w = 0 Solving 15v + -21w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21w' to each side of the equation. 15v + -21w + 21w = 0 + 21w Combine like terms: -21w + 21w = 0 15v + 0 = 0 + 21w 15v = 0 + 21w Remove the zero: 15v = 21w Divide each side by '15'. v = 1.4w Simplifying v = 1.4w
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