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Simplifying (6 + -1v + 3w)(-3) = 0 Reorder the terms for easier multiplication: -3(6 + -1v + 3w) = 0 (6 * -3 + -1v * -3 + 3w * -3) = 0 (-18 + 3v + -9w) = 0 Solving -18 + 3v + -9w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 3v + 18 + -9w = 0 + 18 Reorder the terms: -18 + 18 + 3v + -9w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3v + -9w = 0 + 18 3v + -9w = 0 + 18 Combine like terms: 0 + 18 = 18 3v + -9w = 18 Add '9w' to each side of the equation. 3v + -9w + 9w = 18 + 9w Combine like terms: -9w + 9w = 0 3v + 0 = 18 + 9w 3v = 18 + 9w Divide each side by '3'. v = 6 + 3w Simplifying v = 6 + 3w
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