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Simplifying -3(v + 9) = 6(v + -3) Reorder the terms: -3(9 + v) = 6(v + -3) (9 * -3 + v * -3) = 6(v + -3) (-27 + -3v) = 6(v + -3) Reorder the terms: -27 + -3v = 6(-3 + v) -27 + -3v = (-3 * 6 + v * 6) -27 + -3v = (-18 + 6v) Solving -27 + -3v = -18 + 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 = -18 + 6v + -6v Combine like terms: -3v + -6v = -9v -27 + -9v = -18 + 6v + -6v Combine like terms: 6v + -6v = 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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