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Simplifying -46 = -4v + 2(1 + -2v) -46 = -4v + (1 * 2 + -2v * 2) -46 = -4v + (2 + -4v) Reorder the terms: -46 = 2 + -4v + -4v Combine like terms: -4v + -4v = -8v -46 = 2 + -8v Solving -46 = 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. -46 + 8v = 2 + -8v + 8v Combine like terms: -8v + 8v = 0 -46 + 8v = 2 + 0 -46 + 8v = 2 Add '46' to each side of the equation. -46 + 46 + 8v = 2 + 46 Combine like terms: -46 + 46 = 0 0 + 8v = 2 + 46 8v = 2 + 46 Combine like terms: 2 + 46 = 48 8v = 48 Divide each side by '8'. v = 6 Simplifying v = 6
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