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Simplifying 11 = 4(v + 5) + 5v Reorder the terms: 11 = 4(5 + v) + 5v 11 = (5 * 4 + v * 4) + 5v 11 = (20 + 4v) + 5v Combine like terms: 4v + 5v = 9v 11 = 20 + 9v Solving 11 = 20 + 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 + -9v = 20 + 9v + -9v Combine like terms: 9v + -9v = 0 11 + -9v = 20 + 0 11 + -9v = 20 Add '-11' to each side of the equation. 11 + -11 + -9v = 20 + -11 Combine like terms: 11 + -11 = 0 0 + -9v = 20 + -11 -9v = 20 + -11 Combine like terms: 20 + -11 = 9 -9v = 9 Divide each side by '-9'. v = -1 Simplifying v = -1
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