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Simplifying -6(v + 2) = -9v + -6 Reorder the terms: -6(2 + v) = -9v + -6 (2 * -6 + v * -6) = -9v + -6 (-12 + -6v) = -9v + -6 Reorder the terms: -12 + -6v = -6 + -9v Solving -12 + -6v = -6 + -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. -12 + -6v + 9v = -6 + -9v + 9v Combine like terms: -6v + 9v = 3v -12 + 3v = -6 + -9v + 9v Combine like terms: -9v + 9v = 0 -12 + 3v = -6 + 0 -12 + 3v = -6 Add '12' to each side of the equation. -12 + 12 + 3v = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 3v = -6 + 12 3v = -6 + 12 Combine like terms: -6 + 12 = 6 3v = 6 Divide each side by '3'. v = 2 Simplifying v = 2
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