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Simplifying 6y(2v + 3) = 0 Reorder the terms: 6y(3 + 2v) = 0 (3 * 6y + 2v * 6y) = 0 Reorder the terms: (12vy + 18y) = 0 (12vy + 18y) = 0 Solving 12vy + 18y = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18y' to each side of the equation. 12vy + 18y + -18y = 0 + -18y Combine like terms: 18y + -18y = 0 12vy + 0 = 0 + -18y 12vy = 0 + -18y Remove the zero: 12vy = -18y Divide each side by '12y'. v = -1.5 Simplifying v = -1.5
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