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Simplifying -9(v + 2) + 3v + 7 = 6v + 8 Reorder the terms: -9(2 + v) + 3v + 7 = 6v + 8 (2 * -9 + v * -9) + 3v + 7 = 6v + 8 (-18 + -9v) + 3v + 7 = 6v + 8 Reorder the terms: -18 + 7 + -9v + 3v = 6v + 8 Combine like terms: -18 + 7 = -11 -11 + -9v + 3v = 6v + 8 Combine like terms: -9v + 3v = -6v -11 + -6v = 6v + 8 Reorder the terms: -11 + -6v = 8 + 6v Solving -11 + -6v = 8 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -11 + -6v + -6v = 8 + 6v + -6v Combine like terms: -6v + -6v = -12v -11 + -12v = 8 + 6v + -6v Combine like terms: 6v + -6v = 0 -11 + -12v = 8 + 0 -11 + -12v = 8 Add '11' to each side of the equation. -11 + 11 + -12v = 8 + 11 Combine like terms: -11 + 11 = 0 0 + -12v = 8 + 11 -12v = 8 + 11 Combine like terms: 8 + 11 = 19 -12v = 19 Divide each side by '-12'. v = -1.583333333 Simplifying v = -1.583333333
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