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Simplifying 4v + 1 = 3v + 8 Reorder the terms: 1 + 4v = 3v + 8 Reorder the terms: 1 + 4v = 8 + 3v Solving 1 + 4v = 8 + 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. 1 + 4v + -3v = 8 + 3v + -3v Combine like terms: 4v + -3v = 1v 1 + 1v = 8 + 3v + -3v Combine like terms: 3v + -3v = 0 1 + 1v = 8 + 0 1 + 1v = 8 Add '-1' to each side of the equation. 1 + -1 + 1v = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1v = 8 + -1 1v = 8 + -1 Combine like terms: 8 + -1 = 7 1v = 7 Divide each side by '1'. v = 7 Simplifying v = 7
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