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Simplifying 7v + -1(9w + 3v) = 0 Reorder the terms: 7v + -1(3v + 9w) = 0 7v + (3v * -1 + 9w * -1) = 0 7v + (-3v + -9w) = 0 Combine like terms: 7v + -3v = 4v 4v + -9w = 0 Solving 4v + -9w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9w' to each side of the equation. 4v + -9w + 9w = 0 + 9w Combine like terms: -9w + 9w = 0 4v + 0 = 0 + 9w 4v = 0 + 9w Remove the zero: 4v = 9w Divide each side by '4'. v = 2.25w Simplifying v = 2.25w
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