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Simplifying -9(v + 2) + 3v + 6 = 8v + 6 Reorder the terms: -9(2 + v) + 3v + 6 = 8v + 6 (2 * -9 + v * -9) + 3v + 6 = 8v + 6 (-18 + -9v) + 3v + 6 = 8v + 6 Reorder the terms: -18 + 6 + -9v + 3v = 8v + 6 Combine like terms: -18 + 6 = -12 -12 + -9v + 3v = 8v + 6 Combine like terms: -9v + 3v = -6v -12 + -6v = 8v + 6 Reorder the terms: -12 + -6v = 6 + 8v Solving -12 + -6v = 6 + 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 + -6v + -8v = 6 + 8v + -8v Combine like terms: -6v + -8v = -14v -12 + -14v = 6 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -14v = 6 + 0 -12 + -14v = 6 Add '12' to each side of the equation. -12 + 12 + -14v = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -14v = 6 + 12 -14v = 6 + 12 Combine like terms: 6 + 12 = 18 -14v = 18 Divide each side by '-14'. v = -1.285714286 Simplifying v = -1.285714286
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