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Simplifying 9v + 27 = 3(v + -7) Reorder the terms: 27 + 9v = 3(v + -7) Reorder the terms: 27 + 9v = 3(-7 + v) 27 + 9v = (-7 * 3 + v * 3) 27 + 9v = (-21 + 3v) Solving 27 + 9v = -21 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 27 + 9v + -3v = -21 + 3v + -3v Combine like terms: 9v + -3v = 6v 27 + 6v = -21 + 3v + -3v Combine like terms: 3v + -3v = 0 27 + 6v = -21 + 0 27 + 6v = -21 Add '-27' to each side of the equation. 27 + -27 + 6v = -21 + -27 Combine like terms: 27 + -27 = 0 0 + 6v = -21 + -27 6v = -21 + -27 Combine like terms: -21 + -27 = -48 6v = -48 Divide each side by '6'. v = -8 Simplifying v = -8
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