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Simplifying (5 + -4w + 2v)(-6) = 0 Reorder the terms: (5 + 2v + -4w)(-6) = 0 Reorder the terms for easier multiplication: -6(5 + 2v + -4w) = 0 (5 * -6 + 2v * -6 + -4w * -6) = 0 (-30 + -12v + 24w) = 0 Solving -30 + -12v + 24w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -12v + 30 + 24w = 0 + 30 Reorder the terms: -30 + 30 + -12v + 24w = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -12v + 24w = 0 + 30 -12v + 24w = 0 + 30 Combine like terms: 0 + 30 = 30 -12v + 24w = 30 Add '-24w' to each side of the equation. -12v + 24w + -24w = 30 + -24w Combine like terms: 24w + -24w = 0 -12v + 0 = 30 + -24w -12v = 30 + -24w Divide each side by '-12'. v = -2.5 + 2w Simplifying v = -2.5 + 2w
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