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Simplifying -9(v + 2) + 4v + 6 = 8v + 11 Reorder the terms: -9(2 + v) + 4v + 6 = 8v + 11 (2 * -9 + v * -9) + 4v + 6 = 8v + 11 (-18 + -9v) + 4v + 6 = 8v + 11 Reorder the terms: -18 + 6 + -9v + 4v = 8v + 11 Combine like terms: -18 + 6 = -12 -12 + -9v + 4v = 8v + 11 Combine like terms: -9v + 4v = -5v -12 + -5v = 8v + 11 Reorder the terms: -12 + -5v = 11 + 8v Solving -12 + -5v = 11 + 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. -12 + -5v + -8v = 11 + 8v + -8v Combine like terms: -5v + -8v = -13v -12 + -13v = 11 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -13v = 11 + 0 -12 + -13v = 11 Add '12' to each side of the equation. -12 + 12 + -13v = 11 + 12 Combine like terms: -12 + 12 = 0 0 + -13v = 11 + 12 -13v = 11 + 12 Combine like terms: 11 + 12 = 23 -13v = 23 Divide each side by '-13'. v = -1.769230769 Simplifying v = -1.769230769
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