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Simplifying 4v + 7 + -1v = 25 + -6v Reorder the terms: 7 + 4v + -1v = 25 + -6v Combine like terms: 4v + -1v = 3v 7 + 3v = 25 + -6v Solving 7 + 3v = 25 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 7 + 3v + 6v = 25 + -6v + 6v Combine like terms: 3v + 6v = 9v 7 + 9v = 25 + -6v + 6v Combine like terms: -6v + 6v = 0 7 + 9v = 25 + 0 7 + 9v = 25 Add '-7' to each side of the equation. 7 + -7 + 9v = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 9v = 25 + -7 9v = 25 + -7 Combine like terms: 25 + -7 = 18 9v = 18 Divide each side by '9'. v = 2 Simplifying v = 2
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