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Simplifying -9(v + 3) + 3v + 6 = 6v + 10 Reorder the terms: -9(3 + v) + 3v + 6 = 6v + 10 (3 * -9 + v * -9) + 3v + 6 = 6v + 10 (-27 + -9v) + 3v + 6 = 6v + 10 Reorder the terms: -27 + 6 + -9v + 3v = 6v + 10 Combine like terms: -27 + 6 = -21 -21 + -9v + 3v = 6v + 10 Combine like terms: -9v + 3v = -6v -21 + -6v = 6v + 10 Reorder the terms: -21 + -6v = 10 + 6v Solving -21 + -6v = 10 + 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. -21 + -6v + -6v = 10 + 6v + -6v Combine like terms: -6v + -6v = -12v -21 + -12v = 10 + 6v + -6v Combine like terms: 6v + -6v = 0 -21 + -12v = 10 + 0 -21 + -12v = 10 Add '21' to each side of the equation. -21 + 21 + -12v = 10 + 21 Combine like terms: -21 + 21 = 0 0 + -12v = 10 + 21 -12v = 10 + 21 Combine like terms: 10 + 21 = 31 -12v = 31 Divide each side by '-12'. v = -2.583333333 Simplifying v = -2.583333333
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