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Simplifying 9 + 8v = 12(9v + 10) + 11v Reorder the terms: 9 + 8v = 12(10 + 9v) + 11v 9 + 8v = (10 * 12 + 9v * 12) + 11v 9 + 8v = (120 + 108v) + 11v Combine like terms: 108v + 11v = 119v 9 + 8v = 120 + 119v Solving 9 + 8v = 120 + 119v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-119v' to each side of the equation. 9 + 8v + -119v = 120 + 119v + -119v Combine like terms: 8v + -119v = -111v 9 + -111v = 120 + 119v + -119v Combine like terms: 119v + -119v = 0 9 + -111v = 120 + 0 9 + -111v = 120 Add '-9' to each side of the equation. 9 + -9 + -111v = 120 + -9 Combine like terms: 9 + -9 = 0 0 + -111v = 120 + -9 -111v = 120 + -9 Combine like terms: 120 + -9 = 111 -111v = 111 Divide each side by '-111'. v = -1 Simplifying v = -1
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