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Simplifying 2(4v + -1) = 3v Reorder the terms: 2(-1 + 4v) = 3v (-1 * 2 + 4v * 2) = 3v (-2 + 8v) = 3v Solving -2 + 8v = 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -2 + 8v + -3v = 3v + -3v Combine like terms: 8v + -3v = 5v -2 + 5v = 3v + -3v Combine like terms: 3v + -3v = 0 -2 + 5v = 0 Add '2' to each side of the equation. -2 + 2 + 5v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5v = 0 + 2 5v = 0 + 2 Combine like terms: 0 + 2 = 2 5v = 2 Divide each side by '5'. v = 0.4 Simplifying v = 0.4
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