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Simplifying -3v + -27 = 6(v + 6) Reorder the terms: -27 + -3v = 6(v + 6) Reorder the terms: -27 + -3v = 6(6 + v) -27 + -3v = (6 * 6 + v * 6) -27 + -3v = (36 + 6v) Solving -27 + -3v = 36 + 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. -27 + -3v + -6v = 36 + 6v + -6v Combine like terms: -3v + -6v = -9v -27 + -9v = 36 + 6v + -6v Combine like terms: 6v + -6v = 0 -27 + -9v = 36 + 0 -27 + -9v = 36 Add '27' to each side of the equation. -27 + 27 + -9v = 36 + 27 Combine like terms: -27 + 27 = 0 0 + -9v = 36 + 27 -9v = 36 + 27 Combine like terms: 36 + 27 = 63 -9v = 63 Divide each side by '-9'. v = -7 Simplifying v = -7
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