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Simplifying 9(4 + v) + 38 = 11v (4 * 9 + v * 9) + 38 = 11v (36 + 9v) + 38 = 11v Reorder the terms: 36 + 38 + 9v = 11v Combine like terms: 36 + 38 = 74 74 + 9v = 11v Solving 74 + 9v = 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 74 + 9v + -11v = 11v + -11v Combine like terms: 9v + -11v = -2v 74 + -2v = 11v + -11v Combine like terms: 11v + -11v = 0 74 + -2v = 0 Add '-74' to each side of the equation. 74 + -74 + -2v = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -2v = 0 + -74 -2v = 0 + -74 Combine like terms: 0 + -74 = -74 -2v = -74 Divide each side by '-2'. v = 37 Simplifying v = 37
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