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Simplifying 10 + 3(4v + -5) = 2 Reorder the terms: 10 + 3(-5 + 4v) = 2 10 + (-5 * 3 + 4v * 3) = 2 10 + (-15 + 12v) = 2 Combine like terms: 10 + -15 = -5 -5 + 12v = 2 Solving -5 + 12v = 2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12v = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 12v = 2 + 5 12v = 2 + 5 Combine like terms: 2 + 5 = 7 12v = 7 Divide each side by '12'. v = 0.5833333333 Simplifying v = 0.5833333333
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