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Simplifying -3(v + -3) = 6v + 27 Reorder the terms: -3(-3 + v) = 6v + 27 (-3 * -3 + v * -3) = 6v + 27 (9 + -3v) = 6v + 27 Reorder the terms: 9 + -3v = 27 + 6v Solving 9 + -3v = 27 + 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. 9 + -3v + -6v = 27 + 6v + -6v Combine like terms: -3v + -6v = -9v 9 + -9v = 27 + 6v + -6v Combine like terms: 6v + -6v = 0 9 + -9v = 27 + 0 9 + -9v = 27 Add '-9' to each side of the equation. 9 + -9 + -9v = 27 + -9 Combine like terms: 9 + -9 = 0 0 + -9v = 27 + -9 -9v = 27 + -9 Combine like terms: 27 + -9 = 18 -9v = 18 Divide each side by '-9'. v = -2 Simplifying v = -2
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