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Simplifying 9(v + 2) + 12 = 8v + -11 Reorder the terms: 9(2 + v) + 12 = 8v + -11 (2 * 9 + v * 9) + 12 = 8v + -11 (18 + 9v) + 12 = 8v + -11 Reorder the terms: 18 + 12 + 9v = 8v + -11 Combine like terms: 18 + 12 = 30 30 + 9v = 8v + -11 Reorder the terms: 30 + 9v = -11 + 8v Solving 30 + 9v = -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. 30 + 9v + -8v = -11 + 8v + -8v Combine like terms: 9v + -8v = 1v 30 + 1v = -11 + 8v + -8v Combine like terms: 8v + -8v = 0 30 + 1v = -11 + 0 30 + 1v = -11 Add '-30' to each side of the equation. 30 + -30 + 1v = -11 + -30 Combine like terms: 30 + -30 = 0 0 + 1v = -11 + -30 1v = -11 + -30 Combine like terms: -11 + -30 = -41 1v = -41 Divide each side by '1'. v = -41 Simplifying v = -41
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