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Simplifying -2v + 46 = -6(v + -3) Reorder the terms: 46 + -2v = -6(v + -3) Reorder the terms: 46 + -2v = -6(-3 + v) 46 + -2v = (-3 * -6 + v * -6) 46 + -2v = (18 + -6v) Solving 46 + -2v = 18 + -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. 46 + -2v + 6v = 18 + -6v + 6v Combine like terms: -2v + 6v = 4v 46 + 4v = 18 + -6v + 6v Combine like terms: -6v + 6v = 0 46 + 4v = 18 + 0 46 + 4v = 18 Add '-46' to each side of the equation. 46 + -46 + 4v = 18 + -46 Combine like terms: 46 + -46 = 0 0 + 4v = 18 + -46 4v = 18 + -46 Combine like terms: 18 + -46 = -28 4v = -28 Divide each side by '4'. v = -7 Simplifying v = -7
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