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Simplifying -1(9v + 10) = 10(1 + -1v) Reorder the terms: -1(10 + 9v) = 10(1 + -1v) (10 * -1 + 9v * -1) = 10(1 + -1v) (-10 + -9v) = 10(1 + -1v) -10 + -9v = (1 * 10 + -1v * 10) -10 + -9v = (10 + -10v) Solving -10 + -9v = 10 + -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. -10 + -9v + 10v = 10 + -10v + 10v Combine like terms: -9v + 10v = 1v -10 + 1v = 10 + -10v + 10v Combine like terms: -10v + 10v = 0 -10 + 1v = 10 + 0 -10 + 1v = 10 Add '10' to each side of the equation. -10 + 10 + 1v = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 1v = 10 + 10 1v = 10 + 10 Combine like terms: 10 + 10 = 20 1v = 20 Divide each side by '1'. v = 20 Simplifying v = 20
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