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Simplifying -6(v + 3) + 2v + 5 = 8v + 9 Reorder the terms: -6(3 + v) + 2v + 5 = 8v + 9 (3 * -6 + v * -6) + 2v + 5 = 8v + 9 (-18 + -6v) + 2v + 5 = 8v + 9 Reorder the terms: -18 + 5 + -6v + 2v = 8v + 9 Combine like terms: -18 + 5 = -13 -13 + -6v + 2v = 8v + 9 Combine like terms: -6v + 2v = -4v -13 + -4v = 8v + 9 Reorder the terms: -13 + -4v = 9 + 8v Solving -13 + -4v = 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. -13 + -4v + -8v = 9 + 8v + -8v Combine like terms: -4v + -8v = -12v -13 + -12v = 9 + 8v + -8v Combine like terms: 8v + -8v = 0 -13 + -12v = 9 + 0 -13 + -12v = 9 Add '13' to each side of the equation. -13 + 13 + -12v = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -12v = 9 + 13 -12v = 9 + 13 Combine like terms: 9 + 13 = 22 -12v = 22 Divide each side by '-12'. v = -1.833333333 Simplifying v = -1.833333333
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