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Simplifying -3(-6v + 8) + -1v = 3(v + -9) + -9 Reorder the terms: -3(8 + -6v) + -1v = 3(v + -9) + -9 (8 * -3 + -6v * -3) + -1v = 3(v + -9) + -9 (-24 + 18v) + -1v = 3(v + -9) + -9 Combine like terms: 18v + -1v = 17v -24 + 17v = 3(v + -9) + -9 Reorder the terms: -24 + 17v = 3(-9 + v) + -9 -24 + 17v = (-9 * 3 + v * 3) + -9 -24 + 17v = (-27 + 3v) + -9 Reorder the terms: -24 + 17v = -27 + -9 + 3v Combine like terms: -27 + -9 = -36 -24 + 17v = -36 + 3v Solving -24 + 17v = -36 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -24 + 17v + -3v = -36 + 3v + -3v Combine like terms: 17v + -3v = 14v -24 + 14v = -36 + 3v + -3v Combine like terms: 3v + -3v = 0 -24 + 14v = -36 + 0 -24 + 14v = -36 Add '24' to each side of the equation. -24 + 24 + 14v = -36 + 24 Combine like terms: -24 + 24 = 0 0 + 14v = -36 + 24 14v = -36 + 24 Combine like terms: -36 + 24 = -12 14v = -12 Divide each side by '14'. v = -0.8571428571 Simplifying v = -0.8571428571
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