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Simplifying 9(v + 2) + 3v + 7 = 8v + 11 Reorder the terms: 9(2 + v) + 3v + 7 = 8v + 11 (2 * 9 + v * 9) + 3v + 7 = 8v + 11 (18 + 9v) + 3v + 7 = 8v + 11 Reorder the terms: 18 + 7 + 9v + 3v = 8v + 11 Combine like terms: 18 + 7 = 25 25 + 9v + 3v = 8v + 11 Combine like terms: 9v + 3v = 12v 25 + 12v = 8v + 11 Reorder the terms: 25 + 12v = 11 + 8v Solving 25 + 12v = 11 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 25 + 12v + -8v = 11 + 8v + -8v Combine like terms: 12v + -8v = 4v 25 + 4v = 11 + 8v + -8v Combine like terms: 8v + -8v = 0 25 + 4v = 11 + 0 25 + 4v = 11 Add '-25' to each side of the equation. 25 + -25 + 4v = 11 + -25 Combine like terms: 25 + -25 = 0 0 + 4v = 11 + -25 4v = 11 + -25 Combine like terms: 11 + -25 = -14 4v = -14 Divide each side by '4'. v = -3.5 Simplifying v = -3.5
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