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Simplifying -2(1 + -2v) + 6 = 8 + 8v (1 * -2 + -2v * -2) + 6 = 8 + 8v (-2 + 4v) + 6 = 8 + 8v Reorder the terms: -2 + 6 + 4v = 8 + 8v Combine like terms: -2 + 6 = 4 4 + 4v = 8 + 8v Solving 4 + 4v = 8 + 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. 4 + 4v + -8v = 8 + 8v + -8v Combine like terms: 4v + -8v = -4v 4 + -4v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 4 + -4v = 8 + 0 4 + -4v = 8 Add '-4' to each side of the equation. 4 + -4 + -4v = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -4v = 8 + -4 -4v = 8 + -4 Combine like terms: 8 + -4 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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