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Simplifying 7(v + 2) = 4v + 41 Reorder the terms: 7(2 + v) = 4v + 41 (2 * 7 + v * 7) = 4v + 41 (14 + 7v) = 4v + 41 Reorder the terms: 14 + 7v = 41 + 4v Solving 14 + 7v = 41 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 14 + 7v + -4v = 41 + 4v + -4v Combine like terms: 7v + -4v = 3v 14 + 3v = 41 + 4v + -4v Combine like terms: 4v + -4v = 0 14 + 3v = 41 + 0 14 + 3v = 41 Add '-14' to each side of the equation. 14 + -14 + 3v = 41 + -14 Combine like terms: 14 + -14 = 0 0 + 3v = 41 + -14 3v = 41 + -14 Combine like terms: 41 + -14 = 27 3v = 27 Divide each side by '3'. v = 9 Simplifying v = 9
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