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Simplifying 2(v + -7) = -9v + 41 Reorder the terms: 2(-7 + v) = -9v + 41 (-7 * 2 + v * 2) = -9v + 41 (-14 + 2v) = -9v + 41 Reorder the terms: -14 + 2v = 41 + -9v Solving -14 + 2v = 41 + -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. -14 + 2v + 9v = 41 + -9v + 9v Combine like terms: 2v + 9v = 11v -14 + 11v = 41 + -9v + 9v Combine like terms: -9v + 9v = 0 -14 + 11v = 41 + 0 -14 + 11v = 41 Add '14' to each side of the equation. -14 + 14 + 11v = 41 + 14 Combine like terms: -14 + 14 = 0 0 + 11v = 41 + 14 11v = 41 + 14 Combine like terms: 41 + 14 = 55 11v = 55 Divide each side by '11'. v = 5 Simplifying v = 5
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