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Simplifying -9v + -11(4v + 1) = 12(9 + -3v) Reorder the terms: -9v + -11(1 + 4v) = 12(9 + -3v) -9v + (1 * -11 + 4v * -11) = 12(9 + -3v) -9v + (-11 + -44v) = 12(9 + -3v) Reorder the terms: -11 + -9v + -44v = 12(9 + -3v) Combine like terms: -9v + -44v = -53v -11 + -53v = 12(9 + -3v) -11 + -53v = (9 * 12 + -3v * 12) -11 + -53v = (108 + -36v) Solving -11 + -53v = 108 + -36v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '36v' to each side of the equation. -11 + -53v + 36v = 108 + -36v + 36v Combine like terms: -53v + 36v = -17v -11 + -17v = 108 + -36v + 36v Combine like terms: -36v + 36v = 0 -11 + -17v = 108 + 0 -11 + -17v = 108 Add '11' to each side of the equation. -11 + 11 + -17v = 108 + 11 Combine like terms: -11 + 11 = 0 0 + -17v = 108 + 11 -17v = 108 + 11 Combine like terms: 108 + 11 = 119 -17v = 119 Divide each side by '-17'. v = -7 Simplifying v = -7
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