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Simplifying 6v + 1 = 2v + 9 Reorder the terms: 1 + 6v = 2v + 9 Reorder the terms: 1 + 6v = 9 + 2v Solving 1 + 6v = 9 + 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. 1 + 6v + -2v = 9 + 2v + -2v Combine like terms: 6v + -2v = 4v 1 + 4v = 9 + 2v + -2v Combine like terms: 2v + -2v = 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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