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Simplifying 9v + -11 = 2(v + 5) Reorder the terms: -11 + 9v = 2(v + 5) Reorder the terms: -11 + 9v = 2(5 + v) -11 + 9v = (5 * 2 + v * 2) -11 + 9v = (10 + 2v) Solving -11 + 9v = 10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -11 + 9v + -2v = 10 + 2v + -2v Combine like terms: 9v + -2v = 7v -11 + 7v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 -11 + 7v = 10 + 0 -11 + 7v = 10 Add '11' to each side of the equation. -11 + 11 + 7v = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 7v = 10 + 11 7v = 10 + 11 Combine like terms: 10 + 11 = 21 7v = 21 Divide each side by '7'. v = 3 Simplifying v = 3
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