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Simplifying -9(2v + -4w + -5) = 0 Reorder the terms: -9(-5 + 2v + -4w) = 0 (-5 * -9 + 2v * -9 + -4w * -9) = 0 (45 + -18v + 36w) = 0 Solving 45 + -18v + 36w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -18v + -45 + 36w = 0 + -45 Reorder the terms: 45 + -45 + -18v + 36w = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -18v + 36w = 0 + -45 -18v + 36w = 0 + -45 Combine like terms: 0 + -45 = -45 -18v + 36w = -45 Add '-36w' to each side of the equation. -18v + 36w + -36w = -45 + -36w Combine like terms: 36w + -36w = 0 -18v + 0 = -45 + -36w -18v = -45 + -36w Divide each side by '-18'. v = 2.5 + 2w Simplifying v = 2.5 + 2w
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