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Simplifying 3v + -27 = 9(v + 3) Reorder the terms: -27 + 3v = 9(v + 3) Reorder the terms: -27 + 3v = 9(3 + v) -27 + 3v = (3 * 9 + v * 9) -27 + 3v = (27 + 9v) Solving -27 + 3v = 27 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -27 + 3v + -9v = 27 + 9v + -9v Combine like terms: 3v + -9v = -6v -27 + -6v = 27 + 9v + -9v Combine like terms: 9v + -9v = 0 -27 + -6v = 27 + 0 -27 + -6v = 27 Add '27' to each side of the equation. -27 + 27 + -6v = 27 + 27 Combine like terms: -27 + 27 = 0 0 + -6v = 27 + 27 -6v = 27 + 27 Combine like terms: 27 + 27 = 54 -6v = 54 Divide each side by '-6'. v = -9 Simplifying v = -9
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