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Simplifying -4v + -46 = 2(v + 4) Reorder the terms: -46 + -4v = 2(v + 4) Reorder the terms: -46 + -4v = 2(4 + v) -46 + -4v = (4 * 2 + v * 2) -46 + -4v = (8 + 2v) Solving -46 + -4v = 8 + 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. -46 + -4v + -2v = 8 + 2v + -2v Combine like terms: -4v + -2v = -6v -46 + -6v = 8 + 2v + -2v Combine like terms: 2v + -2v = 0 -46 + -6v = 8 + 0 -46 + -6v = 8 Add '46' to each side of the equation. -46 + 46 + -6v = 8 + 46 Combine like terms: -46 + 46 = 0 0 + -6v = 8 + 46 -6v = 8 + 46 Combine like terms: 8 + 46 = 54 -6v = 54 Divide each side by '-6'. v = -9 Simplifying v = -9
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