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Simplifying (6 + -2w + 4v)(-9) = 0 Reorder the terms: (6 + 4v + -2w)(-9) = 0 Reorder the terms for easier multiplication: -9(6 + 4v + -2w) = 0 (6 * -9 + 4v * -9 + -2w * -9) = 0 (-54 + -36v + 18w) = 0 Solving -54 + -36v + 18w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '54' to each side of the equation. -54 + -36v + 54 + 18w = 0 + 54 Reorder the terms: -54 + 54 + -36v + 18w = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -36v + 18w = 0 + 54 -36v + 18w = 0 + 54 Combine like terms: 0 + 54 = 54 -36v + 18w = 54 Add '-18w' to each side of the equation. -36v + 18w + -18w = 54 + -18w Combine like terms: 18w + -18w = 0 -36v + 0 = 54 + -18w -36v = 54 + -18w Divide each side by '-36'. v = -1.5 + 0.5w Simplifying v = -1.5 + 0.5w
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