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Simplifying -2(v + 4) = -3v Reorder the terms: -2(4 + v) = -3v (4 * -2 + v * -2) = -3v (-8 + -2v) = -3v Solving -8 + -2v = -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. -8 + -2v + 3v = -3v + 3v Combine like terms: -2v + 3v = 1v -8 + 1v = -3v + 3v Combine like terms: -3v + 3v = 0 -8 + 1v = 0 Add '8' to each side of the equation. -8 + 8 + 1v = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1v = 0 + 8 1v = 0 + 8 Combine like terms: 0 + 8 = 8 1v = 8 Divide each side by '1'. v = 8 Simplifying v = 8
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