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Simplifying 9(1 + -1v) = -8 + -1(1 + 10v) (1 * 9 + -1v * 9) = -8 + -1(1 + 10v) (9 + -9v) = -8 + -1(1 + 10v) 9 + -9v = -8 + (1 * -1 + 10v * -1) 9 + -9v = -8 + (-1 + -10v) Combine like terms: -8 + -1 = -9 9 + -9v = -9 + -10v Solving 9 + -9v = -9 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 9 + -9v + 10v = -9 + -10v + 10v Combine like terms: -9v + 10v = 1v 9 + 1v = -9 + -10v + 10v Combine like terms: -10v + 10v = 0 9 + 1v = -9 + 0 9 + 1v = -9 Add '-9' to each side of the equation. 9 + -9 + 1v = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 1v = -9 + -9 1v = -9 + -9 Combine like terms: -9 + -9 = -18 1v = -18 Divide each side by '1'. v = -18 Simplifying v = -18
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