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Simplifying 8v + 1 = 4v + 9 Reorder the terms: 1 + 8v = 4v + 9 Reorder the terms: 1 + 8v = 9 + 4v Solving 1 + 8v = 9 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 1 + 8v + -4v = 9 + 4v + -4v Combine like terms: 8v + -4v = 4v 1 + 4v = 9 + 4v + -4v Combine like terms: 4v + -4v = 0 1 + 4v = 9 + 0 1 + 4v = 9 Add '-1' to each side of the equation. 1 + -1 + 4v = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4v = 9 + -1 4v = 9 + -1 Combine like terms: 9 + -1 = 8 4v = 8 Divide each side by '4'. v = 2 Simplifying v = 2
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