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Simplifying -8(v + 4) + 2v + 5 = 6v + 11 Reorder the terms: -8(4 + v) + 2v + 5 = 6v + 11 (4 * -8 + v * -8) + 2v + 5 = 6v + 11 (-32 + -8v) + 2v + 5 = 6v + 11 Reorder the terms: -32 + 5 + -8v + 2v = 6v + 11 Combine like terms: -32 + 5 = -27 -27 + -8v + 2v = 6v + 11 Combine like terms: -8v + 2v = -6v -27 + -6v = 6v + 11 Reorder the terms: -27 + -6v = 11 + 6v Solving -27 + -6v = 11 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -27 + -6v + -6v = 11 + 6v + -6v Combine like terms: -6v + -6v = -12v -27 + -12v = 11 + 6v + -6v Combine like terms: 6v + -6v = 0 -27 + -12v = 11 + 0 -27 + -12v = 11 Add '27' to each side of the equation. -27 + 27 + -12v = 11 + 27 Combine like terms: -27 + 27 = 0 0 + -12v = 11 + 27 -12v = 11 + 27 Combine like terms: 11 + 27 = 38 -12v = 38 Divide each side by '-12'. v = -3.166666667 Simplifying v = -3.166666667
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