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Simplifying 15v + -3(3w + -1v) + -5(w + -2v) + 18v = 0 Reorder the terms: 15v + -3(-1v + 3w) + -5(w + -2v) + 18v = 0 15v + (-1v * -3 + 3w * -3) + -5(w + -2v) + 18v = 0 15v + (3v + -9w) + -5(w + -2v) + 18v = 0 Reorder the terms: 15v + 3v + -9w + -5(-2v + w) + 18v = 0 15v + 3v + -9w + (-2v * -5 + w * -5) + 18v = 0 15v + 3v + -9w + (10v + -5w) + 18v = 0 Reorder the terms: 15v + 3v + 10v + 18v + -9w + -5w = 0 Combine like terms: 15v + 3v = 18v 18v + 10v + 18v + -9w + -5w = 0 Combine like terms: 18v + 10v = 28v 28v + 18v + -9w + -5w = 0 Combine like terms: 28v + 18v = 46v 46v + -9w + -5w = 0 Combine like terms: -9w + -5w = -14w 46v + -14w = 0 Solving 46v + -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. 46v + -14w + 14w = 0 + 14w Combine like terms: -14w + 14w = 0 46v + 0 = 0 + 14w 46v = 0 + 14w Remove the zero: 46v = 14w Divide each side by '46'. v = 0.3043478261w Simplifying v = 0.3043478261w
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