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Simplifying -9(v + 4) + 3v + 6 = 6v + 9 Reorder the terms: -9(4 + v) + 3v + 6 = 6v + 9 (4 * -9 + v * -9) + 3v + 6 = 6v + 9 (-36 + -9v) + 3v + 6 = 6v + 9 Reorder the terms: -36 + 6 + -9v + 3v = 6v + 9 Combine like terms: -36 + 6 = -30 -30 + -9v + 3v = 6v + 9 Combine like terms: -9v + 3v = -6v -30 + -6v = 6v + 9 Reorder the terms: -30 + -6v = 9 + 6v Solving -30 + -6v = 9 + 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. -30 + -6v + -6v = 9 + 6v + -6v Combine like terms: -6v + -6v = -12v -30 + -12v = 9 + 6v + -6v Combine like terms: 6v + -6v = 0 -30 + -12v = 9 + 0 -30 + -12v = 9 Add '30' to each side of the equation. -30 + 30 + -12v = 9 + 30 Combine like terms: -30 + 30 = 0 0 + -12v = 9 + 30 -12v = 9 + 30 Combine like terms: 9 + 30 = 39 -12v = 39 Divide each side by '-12'. v = -3.25 Simplifying v = -3.25
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