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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 = -27v 1 + -27v = -44 + 9v + -9v Combine like terms: 9v + -9v = 0 1 + -27v = -44 + 0 1 + -27v = -44 Add '-1' to each side of the equation. 1 + -1 + -27v = -44 + -1 Combine like terms: 1 + -1 = 0 0 + -27v = -44 + -1 -27v = -44 + -1 Combine like terms: -44 + -1 = -45 -27v = -45 Divide each side by '-27'. v = 1.666666667 Simplifying v = 1.666666667
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