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Simplifying 9(v + 2) = 5v + 38 Reorder the terms: 9(2 + v) = 5v + 38 (2 * 9 + v * 9) = 5v + 38 (18 + 9v) = 5v + 38 Reorder the terms: 18 + 9v = 38 + 5v Solving 18 + 9v = 38 + 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. 18 + 9v + -5v = 38 + 5v + -5v Combine like terms: 9v + -5v = 4v 18 + 4v = 38 + 5v + -5v Combine like terms: 5v + -5v = 0 18 + 4v = 38 + 0 18 + 4v = 38 Add '-18' to each side of the equation. 18 + -18 + 4v = 38 + -18 Combine like terms: 18 + -18 = 0 0 + 4v = 38 + -18 4v = 38 + -18 Combine like terms: 38 + -18 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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