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Simplifying 8w + 6(3w + 2v) = 0 Reorder the terms: 8w + 6(2v + 3w) = 0 8w + (2v * 6 + 3w * 6) = 0 8w + (12v + 18w) = 0 Reorder the terms: 12v + 8w + 18w = 0 Combine like terms: 8w + 18w = 26w 12v + 26w = 0 Solving 12v + 26w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-26w' to each side of the equation. 12v + 26w + -26w = 0 + -26w Combine like terms: 26w + -26w = 0 12v + 0 = 0 + -26w 12v = 0 + -26w Remove the zero: 12v = -26w Divide each side by '12'. v = -2.166666667w Simplifying v = -2.166666667w
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