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Simplifying 46 + -5v = 3v + 6 Reorder the terms: 46 + -5v = 6 + 3v Solving 46 + -5v = 6 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 46 + -5v + -3v = 6 + 3v + -3v Combine like terms: -5v + -3v = -8v 46 + -8v = 6 + 3v + -3v Combine like terms: 3v + -3v = 0 46 + -8v = 6 + 0 46 + -8v = 6 Add '-46' to each side of the equation. 46 + -46 + -8v = 6 + -46 Combine like terms: 46 + -46 = 0 0 + -8v = 6 + -46 -8v = 6 + -46 Combine like terms: 6 + -46 = -40 -8v = -40 Divide each side by '-8'. v = 5 Simplifying v = 5
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