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Simplifying 9v + 9 = 5(v + 9) Reorder the terms: 9 + 9v = 5(v + 9) Reorder the terms: 9 + 9v = 5(9 + v) 9 + 9v = (9 * 5 + v * 5) 9 + 9v = (45 + 5v) Solving 9 + 9v = 45 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 9 + 9v + -5v = 45 + 5v + -5v Combine like terms: 9v + -5v = 4v 9 + 4v = 45 + 5v + -5v Combine like terms: 5v + -5v = 0 9 + 4v = 45 + 0 9 + 4v = 45 Add '-9' to each side of the equation. 9 + -9 + 4v = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 4v = 45 + -9 4v = 45 + -9 Combine like terms: 45 + -9 = 36 4v = 36 Divide each side by '4'. v = 9 Simplifying v = 9
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