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Simplifying -5v + 41 = 9(v + 3) Reorder the terms: 41 + -5v = 9(v + 3) Reorder the terms: 41 + -5v = 9(3 + v) 41 + -5v = (3 * 9 + v * 9) 41 + -5v = (27 + 9v) Solving 41 + -5v = 27 + 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. 41 + -5v + -9v = 27 + 9v + -9v Combine like terms: -5v + -9v = -14v 41 + -14v = 27 + 9v + -9v Combine like terms: 9v + -9v = 0 41 + -14v = 27 + 0 41 + -14v = 27 Add '-41' to each side of the equation. 41 + -41 + -14v = 27 + -41 Combine like terms: 41 + -41 = 0 0 + -14v = 27 + -41 -14v = 27 + -41 Combine like terms: 27 + -41 = -14 -14v = -14 Divide each side by '-14'. v = 1 Simplifying v = 1
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