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Simplifying -9(v + 3) + 3v + 7 = 8v + 11 Reorder the terms: -9(3 + v) + 3v + 7 = 8v + 11 (3 * -9 + v * -9) + 3v + 7 = 8v + 11 (-27 + -9v) + 3v + 7 = 8v + 11 Reorder the terms: -27 + 7 + -9v + 3v = 8v + 11 Combine like terms: -27 + 7 = -20 -20 + -9v + 3v = 8v + 11 Combine like terms: -9v + 3v = -6v -20 + -6v = 8v + 11 Reorder the terms: -20 + -6v = 11 + 8v Solving -20 + -6v = 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. -20 + -6v + -8v = 11 + 8v + -8v Combine like terms: -6v + -8v = -14v -20 + -14v = 11 + 8v + -8v Combine like terms: 8v + -8v = 0 -20 + -14v = 11 + 0 -20 + -14v = 11 Add '20' to each side of the equation. -20 + 20 + -14v = 11 + 20 Combine like terms: -20 + 20 = 0 0 + -14v = 11 + 20 -14v = 11 + 20 Combine like terms: 11 + 20 = 31 -14v = 31 Divide each side by '-14'. v = -2.214285714 Simplifying v = -2.214285714
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