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Simplifying -8 + 9(1 + 2v) = -44 + 9v -8 + (1 * 9 + 2v * 9) = -44 + 9v -8 + (9 + 18v) = -44 + 9v Combine like terms: -8 + 9 = 1 1 + 18v = -44 + 9v Solving 1 + 18v = -44 + 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. 1 + 18v + -9v = -44 + 9v + -9v Combine like terms: 18v + -9v = 9v 1 + 9v = -44 + 9v + -9v Combine like terms: 9v + -9v = 0 1 + 9v = -44 + 0 1 + 9v = -44 Add '-1' to each side of the equation. 1 + -1 + 9v = -44 + -1 Combine like terms: 1 + -1 = 0 0 + 9v = -44 + -1 9v = -44 + -1 Combine like terms: -44 + -1 = -45 9v = -45 Divide each side by '9'. v = -5 Simplifying v = -5
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