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Simplifying 3(4v + 10) + 8(5v + 2) = 0 Reorder the terms: 3(10 + 4v) + 8(5v + 2) = 0 (10 * 3 + 4v * 3) + 8(5v + 2) = 0 (30 + 12v) + 8(5v + 2) = 0 Reorder the terms: 30 + 12v + 8(2 + 5v) = 0 30 + 12v + (2 * 8 + 5v * 8) = 0 30 + 12v + (16 + 40v) = 0 Reorder the terms: 30 + 16 + 12v + 40v = 0 Combine like terms: 30 + 16 = 46 46 + 12v + 40v = 0 Combine like terms: 12v + 40v = 52v 46 + 52v = 0 Solving 46 + 52v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 52v = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 52v = 0 + -46 52v = 0 + -46 Combine like terms: 0 + -46 = -46 52v = -46 Divide each side by '52'. v = -0.8846153846 Simplifying v = -0.8846153846
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