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Simplifying v2 + -5v + -11 = (v + -2)(v + -6) Reorder the terms: -11 + -5v + v2 = (v + -2)(v + -6) Reorder the terms: -11 + -5v + v2 = (-2 + v)(v + -6) Reorder the terms: -11 + -5v + v2 = (-2 + v)(-6 + v) Multiply (-2 + v) * (-6 + v) -11 + -5v + v2 = (-2(-6 + v) + v(-6 + v)) -11 + -5v + v2 = ((-6 * -2 + v * -2) + v(-6 + v)) -11 + -5v + v2 = ((12 + -2v) + v(-6 + v)) -11 + -5v + v2 = (12 + -2v + (-6 * v + v * v)) -11 + -5v + v2 = (12 + -2v + (-6v + v2)) Combine like terms: -2v + -6v = -8v -11 + -5v + v2 = (12 + -8v + v2) Add '-1v2' to each side of the equation. -11 + -5v + v2 + -1v2 = 12 + -8v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -11 + -5v + 0 = 12 + -8v + v2 + -1v2 -11 + -5v = 12 + -8v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -11 + -5v = 12 + -8v + 0 -11 + -5v = 12 + -8v Solving -11 + -5v = 12 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -11 + -5v + 8v = 12 + -8v + 8v Combine like terms: -5v + 8v = 3v -11 + 3v = 12 + -8v + 8v Combine like terms: -8v + 8v = 0 -11 + 3v = 12 + 0 -11 + 3v = 12 Add '11' to each side of the equation. -11 + 11 + 3v = 12 + 11 Combine like terms: -11 + 11 = 0 0 + 3v = 12 + 11 3v = 12 + 11 Combine like terms: 12 + 11 = 23 3v = 23 Divide each side by '3'. v = 7.666666667 Simplifying v = 7.666666667
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