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Simplifying 2(9 + 9v) = 9v + 8(v + 2) (9 * 2 + 9v * 2) = 9v + 8(v + 2) (18 + 18v) = 9v + 8(v + 2) Reorder the terms: 18 + 18v = 9v + 8(2 + v) 18 + 18v = 9v + (2 * 8 + v * 8) 18 + 18v = 9v + (16 + 8v) Reorder the terms: 18 + 18v = 16 + 9v + 8v Combine like terms: 9v + 8v = 17v 18 + 18v = 16 + 17v Solving 18 + 18v = 16 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. 18 + 18v + -17v = 16 + 17v + -17v Combine like terms: 18v + -17v = 1v 18 + 1v = 16 + 17v + -17v Combine like terms: 17v + -17v = 0 18 + 1v = 16 + 0 18 + 1v = 16 Add '-18' to each side of the equation. 18 + -18 + 1v = 16 + -18 Combine like terms: 18 + -18 = 0 0 + 1v = 16 + -18 1v = 16 + -18 Combine like terms: 16 + -18 = -2 1v = -2 Divide each side by '1'. v = -2 Simplifying v = -2
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