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Simplifying 2v + -8(8 + -2v) = -82 2v + (8 * -8 + -2v * -8) = -82 2v + (-64 + 16v) = -82 Reorder the terms: -64 + 2v + 16v = -82 Combine like terms: 2v + 16v = 18v -64 + 18v = -82 Solving -64 + 18v = -82 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 18v = -82 + 64 Combine like terms: -64 + 64 = 0 0 + 18v = -82 + 64 18v = -82 + 64 Combine like terms: -82 + 64 = -18 18v = -18 Divide each side by '18'. v = -1 Simplifying v = -1
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