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Simplifying -9(v + 3) + 3v + 5 = 6v + 6 Reorder the terms: -9(3 + v) + 3v + 5 = 6v + 6 (3 * -9 + v * -9) + 3v + 5 = 6v + 6 (-27 + -9v) + 3v + 5 = 6v + 6 Reorder the terms: -27 + 5 + -9v + 3v = 6v + 6 Combine like terms: -27 + 5 = -22 -22 + -9v + 3v = 6v + 6 Combine like terms: -9v + 3v = -6v -22 + -6v = 6v + 6 Reorder the terms: -22 + -6v = 6 + 6v Solving -22 + -6v = 6 + 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. -22 + -6v + -6v = 6 + 6v + -6v Combine like terms: -6v + -6v = -12v -22 + -12v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 -22 + -12v = 6 + 0 -22 + -12v = 6 Add '22' to each side of the equation. -22 + 22 + -12v = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -12v = 6 + 22 -12v = 6 + 22 Combine like terms: 6 + 22 = 28 -12v = 28 Divide each side by '-12'. v = -2.333333333 Simplifying v = -2.333333333
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