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Simplifying (9v + -8w) + -1(8v + -9w) = 0 Remove parenthesis around (9v + -8w) 9v + -8w + -1(8v + -9w) = 0 9v + -8w + (8v * -1 + -9w * -1) = 0 9v + -8w + (-8v + 9w) = 0 Reorder the terms: 9v + -8v + -8w + 9w = 0 Combine like terms: 9v + -8v = 1v 1v + -8w + 9w = 0 Combine like terms: -8w + 9w = 1w 1v + 1w = 0 Solving 1v + 1w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1w' to each side of the equation. 1v + 1w + -1w = 0 + -1w Combine like terms: 1w + -1w = 0 1v + 0 = 0 + -1w 1v = 0 + -1w Remove the zero: 1v = -1w Divide each side by '1'. v = -1w Simplifying v = -1w
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