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Simplifying 2v + 11 = 9(v + 9) Reorder the terms: 11 + 2v = 9(v + 9) Reorder the terms: 11 + 2v = 9(9 + v) 11 + 2v = (9 * 9 + v * 9) 11 + 2v = (81 + 9v) Solving 11 + 2v = 81 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 11 + 2v + -9v = 81 + 9v + -9v Combine like terms: 2v + -9v = -7v 11 + -7v = 81 + 9v + -9v Combine like terms: 9v + -9v = 0 11 + -7v = 81 + 0 11 + -7v = 81 Add '-11' to each side of the equation. 11 + -11 + -7v = 81 + -11 Combine like terms: 11 + -11 = 0 0 + -7v = 81 + -11 -7v = 81 + -11 Combine like terms: 81 + -11 = 70 -7v = 70 Divide each side by '-7'. v = -10 Simplifying v = -10
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