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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 = 11v -2 + 11v = -3v + 3v Combine like terms: -3v + 3v = 0 -2 + 11v = 0 Add '2' to each side of the equation. -2 + 2 + 11v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11v = 0 + 2 11v = 0 + 2 Combine like terms: 0 + 2 = 2 11v = 2 Divide each side by '11'. v = 0.1818181818 Simplifying v = 0.1818181818
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