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Simplifying -8(v + 4) + 2v + 6 = 8v + 9 Reorder the terms: -8(4 + v) + 2v + 6 = 8v + 9 (4 * -8 + v * -8) + 2v + 6 = 8v + 9 (-32 + -8v) + 2v + 6 = 8v + 9 Reorder the terms: -32 + 6 + -8v + 2v = 8v + 9 Combine like terms: -32 + 6 = -26 -26 + -8v + 2v = 8v + 9 Combine like terms: -8v + 2v = -6v -26 + -6v = 8v + 9 Reorder the terms: -26 + -6v = 9 + 8v Solving -26 + -6v = 9 + 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. -26 + -6v + -8v = 9 + 8v + -8v Combine like terms: -6v + -8v = -14v -26 + -14v = 9 + 8v + -8v Combine like terms: 8v + -8v = 0 -26 + -14v = 9 + 0 -26 + -14v = 9 Add '26' to each side of the equation. -26 + 26 + -14v = 9 + 26 Combine like terms: -26 + 26 = 0 0 + -14v = 9 + 26 -14v = 9 + 26 Combine like terms: 9 + 26 = 35 -14v = 35 Divide each side by '-14'. v = -2.5 Simplifying v = -2.5
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