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Simplifying -6 + -46 = -2(v + 3) Combine like terms: -6 + -46 = -52 -52 = -2(v + 3) Reorder the terms: -52 = -2(3 + v) -52 = (3 * -2 + v * -2) -52 = (-6 + -2v) Solving -52 = -6 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -52 + 2v = -6 + -2v + 2v Combine like terms: -2v + 2v = 0 -52 + 2v = -6 + 0 -52 + 2v = -6 Add '52' to each side of the equation. -52 + 52 + 2v = -6 + 52 Combine like terms: -52 + 52 = 0 0 + 2v = -6 + 52 2v = -6 + 52 Combine like terms: -6 + 52 = 46 2v = 46 Divide each side by '2'. v = 23 Simplifying v = 23
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