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Simplifying 2(v + 1) = 6v + -46 Reorder the terms: 2(1 + v) = 6v + -46 (1 * 2 + v * 2) = 6v + -46 (2 + 2v) = 6v + -46 Reorder the terms: 2 + 2v = -46 + 6v Solving 2 + 2v = -46 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 2 + 2v + -6v = -46 + 6v + -6v Combine like terms: 2v + -6v = -4v 2 + -4v = -46 + 6v + -6v Combine like terms: 6v + -6v = 0 2 + -4v = -46 + 0 2 + -4v = -46 Add '-2' to each side of the equation. 2 + -2 + -4v = -46 + -2 Combine like terms: 2 + -2 = 0 0 + -4v = -46 + -2 -4v = -46 + -2 Combine like terms: -46 + -2 = -48 -4v = -48 Divide each side by '-4'. v = 12 Simplifying v = 12
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