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Simplifying -3v + 46 = 2(v + -2) Reorder the terms: 46 + -3v = 2(v + -2) Reorder the terms: 46 + -3v = 2(-2 + v) 46 + -3v = (-2 * 2 + v * 2) 46 + -3v = (-4 + 2v) Solving 46 + -3v = -4 + 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 + -3v + -2v = -4 + 2v + -2v Combine like terms: -3v + -2v = -5v 46 + -5v = -4 + 2v + -2v Combine like terms: 2v + -2v = 0 46 + -5v = -4 + 0 46 + -5v = -4 Add '-46' to each side of the equation. 46 + -46 + -5v = -4 + -46 Combine like terms: 46 + -46 = 0 0 + -5v = -4 + -46 -5v = -4 + -46 Combine like terms: -4 + -46 = -50 -5v = -50 Divide each side by '-5'. v = 10 Simplifying v = 10
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