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Simplifying -9(v + 4) + 3v + 6 = 8v + 6 Reorder the terms: -9(4 + v) + 3v + 6 = 8v + 6 (4 * -9 + v * -9) + 3v + 6 = 8v + 6 (-36 + -9v) + 3v + 6 = 8v + 6 Reorder the terms: -36 + 6 + -9v + 3v = 8v + 6 Combine like terms: -36 + 6 = -30 -30 + -9v + 3v = 8v + 6 Combine like terms: -9v + 3v = -6v -30 + -6v = 8v + 6 Reorder the terms: -30 + -6v = 6 + 8v Solving -30 + -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. -30 + -6v + -8v = 6 + 8v + -8v Combine like terms: -6v + -8v = -14v -30 + -14v = 6 + 8v + -8v Combine like terms: 8v + -8v = 0 -30 + -14v = 6 + 0 -30 + -14v = 6 Add '30' to each side of the equation. -30 + 30 + -14v = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -14v = 6 + 30 -14v = 6 + 30 Combine like terms: 6 + 30 = 36 -14v = 36 Divide each side by '-14'. v = -2.571428571 Simplifying v = -2.571428571
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