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Simplifying -9v + -11(4v + 1) = 11(9 + -3v) Reorder the terms: -9v + -11(1 + 4v) = 11(9 + -3v) -9v + (1 * -11 + 4v * -11) = 11(9 + -3v) -9v + (-11 + -44v) = 11(9 + -3v) Reorder the terms: -11 + -9v + -44v = 11(9 + -3v) Combine like terms: -9v + -44v = -53v -11 + -53v = 11(9 + -3v) -11 + -53v = (9 * 11 + -3v * 11) -11 + -53v = (99 + -33v) Solving -11 + -53v = 99 + -33v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '33v' to each side of the equation. -11 + -53v + 33v = 99 + -33v + 33v Combine like terms: -53v + 33v = -20v -11 + -20v = 99 + -33v + 33v Combine like terms: -33v + 33v = 0 -11 + -20v = 99 + 0 -11 + -20v = 99 Add '11' to each side of the equation. -11 + 11 + -20v = 99 + 11 Combine like terms: -11 + 11 = 0 0 + -20v = 99 + 11 -20v = 99 + 11 Combine like terms: 99 + 11 = 110 -20v = 110 Divide each side by '-20'. v = -5.5 Simplifying v = -5.5
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