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Simplifying -6(v + 9) = 3v + -27 Reorder the terms: -6(9 + v) = 3v + -27 (9 * -6 + v * -6) = 3v + -27 (-54 + -6v) = 3v + -27 Reorder the terms: -54 + -6v = -27 + 3v Solving -54 + -6v = -27 + 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. -54 + -6v + -3v = -27 + 3v + -3v Combine like terms: -6v + -3v = -9v -54 + -9v = -27 + 3v + -3v Combine like terms: 3v + -3v = 0 -54 + -9v = -27 + 0 -54 + -9v = -27 Add '54' to each side of the equation. -54 + 54 + -9v = -27 + 54 Combine like terms: -54 + 54 = 0 0 + -9v = -27 + 54 -9v = -27 + 54 Combine like terms: -27 + 54 = 27 -9v = 27 Divide each side by '-9'. v = -3 Simplifying v = -3
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