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Simplifying -11(2v + 11) = 11(v + -2) Reorder the terms: -11(11 + 2v) = 11(v + -2) (11 * -11 + 2v * -11) = 11(v + -2) (-121 + -22v) = 11(v + -2) Reorder the terms: -121 + -22v = 11(-2 + v) -121 + -22v = (-2 * 11 + v * 11) -121 + -22v = (-22 + 11v) Solving -121 + -22v = -22 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -121 + -22v + -11v = -22 + 11v + -11v Combine like terms: -22v + -11v = -33v -121 + -33v = -22 + 11v + -11v Combine like terms: 11v + -11v = 0 -121 + -33v = -22 + 0 -121 + -33v = -22 Add '121' to each side of the equation. -121 + 121 + -33v = -22 + 121 Combine like terms: -121 + 121 = 0 0 + -33v = -22 + 121 -33v = -22 + 121 Combine like terms: -22 + 121 = 99 -33v = 99 Divide each side by '-33'. v = -3 Simplifying v = -3
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