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Simplifying 2(8 + -1v) = -2(4v + 1) (8 * 2 + -1v * 2) = -2(4v + 1) (16 + -2v) = -2(4v + 1) Reorder the terms: 16 + -2v = -2(1 + 4v) 16 + -2v = (1 * -2 + 4v * -2) 16 + -2v = (-2 + -8v) Solving 16 + -2v = -2 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 16 + -2v + 8v = -2 + -8v + 8v Combine like terms: -2v + 8v = 6v 16 + 6v = -2 + -8v + 8v Combine like terms: -8v + 8v = 0 16 + 6v = -2 + 0 16 + 6v = -2 Add '-16' to each side of the equation. 16 + -16 + 6v = -2 + -16 Combine like terms: 16 + -16 = 0 0 + 6v = -2 + -16 6v = -2 + -16 Combine like terms: -2 + -16 = -18 6v = -18 Divide each side by '6'. v = -3 Simplifying v = -3
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