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Simplifying 7v + 1 = 4v + 7 Reorder the terms: 1 + 7v = 4v + 7 Reorder the terms: 1 + 7v = 7 + 4v Solving 1 + 7v = 7 + 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 + 7v + -4v = 7 + 4v + -4v Combine like terms: 7v + -4v = 3v 1 + 3v = 7 + 4v + -4v Combine like terms: 4v + -4v = 0 1 + 3v = 7 + 0 1 + 3v = 7 Add '-1' to each side of the equation. 1 + -1 + 3v = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3v = 7 + -1 3v = 7 + -1 Combine like terms: 7 + -1 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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