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Simplifying 2(9v + 17) = 16v + 6 Reorder the terms: 2(17 + 9v) = 16v + 6 (17 * 2 + 9v * 2) = 16v + 6 (34 + 18v) = 16v + 6 Reorder the terms: 34 + 18v = 6 + 16v Solving 34 + 18v = 6 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 34 + 18v + -16v = 6 + 16v + -16v Combine like terms: 18v + -16v = 2v 34 + 2v = 6 + 16v + -16v Combine like terms: 16v + -16v = 0 34 + 2v = 6 + 0 34 + 2v = 6 Add '-34' to each side of the equation. 34 + -34 + 2v = 6 + -34 Combine like terms: 34 + -34 = 0 0 + 2v = 6 + -34 2v = 6 + -34 Combine like terms: 6 + -34 = -28 2v = -28 Divide each side by '2'. v = -14 Simplifying v = -14
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