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Simplifying -27 = 3v + 6(v + -3) Reorder the terms: -27 = 3v + 6(-3 + v) -27 = 3v + (-3 * 6 + v * 6) -27 = 3v + (-18 + 6v) Reorder the terms: -27 = -18 + 3v + 6v Combine like terms: 3v + 6v = 9v -27 = -18 + 9v Solving -27 = -18 + 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 + -9v = -18 + 9v + -9v Combine like terms: 9v + -9v = 0 -27 + -9v = -18 + 0 -27 + -9v = -18 Add '27' to each side of the equation. -27 + 27 + -9v = -18 + 27 Combine like terms: -27 + 27 = 0 0 + -9v = -18 + 27 -9v = -18 + 27 Combine like terms: -18 + 27 = 9 -9v = 9 Divide each side by '-9'. v = -1 Simplifying v = -1
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