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Simplifying 9(v + 5) = 5v + 41 Reorder the terms: 9(5 + v) = 5v + 41 (5 * 9 + v * 9) = 5v + 41 (45 + 9v) = 5v + 41 Reorder the terms: 45 + 9v = 41 + 5v Solving 45 + 9v = 41 + 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. 45 + 9v + -5v = 41 + 5v + -5v Combine like terms: 9v + -5v = 4v 45 + 4v = 41 + 5v + -5v Combine like terms: 5v + -5v = 0 45 + 4v = 41 + 0 45 + 4v = 41 Add '-45' to each side of the equation. 45 + -45 + 4v = 41 + -45 Combine like terms: 45 + -45 = 0 0 + 4v = 41 + -45 4v = 41 + -45 Combine like terms: 41 + -45 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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