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Simplifying 4v + -8 = -5v + 46 Reorder the terms: -8 + 4v = -5v + 46 Reorder the terms: -8 + 4v = 46 + -5v Solving -8 + 4v = 46 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -8 + 4v + 5v = 46 + -5v + 5v Combine like terms: 4v + 5v = 9v -8 + 9v = 46 + -5v + 5v Combine like terms: -5v + 5v = 0 -8 + 9v = 46 + 0 -8 + 9v = 46 Add '8' to each side of the equation. -8 + 8 + 9v = 46 + 8 Combine like terms: -8 + 8 = 0 0 + 9v = 46 + 8 9v = 46 + 8 Combine like terms: 46 + 8 = 54 9v = 54 Divide each side by '9'. v = 6 Simplifying v = 6
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