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Simplifying -6(v + 2) = -9v + 18 Reorder the terms: -6(2 + v) = -9v + 18 (2 * -6 + v * -6) = -9v + 18 (-12 + -6v) = -9v + 18 Reorder the terms: -12 + -6v = 18 + -9v Solving -12 + -6v = 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. -12 + -6v + 9v = 18 + -9v + 9v Combine like terms: -6v + 9v = 3v -12 + 3v = 18 + -9v + 9v Combine like terms: -9v + 9v = 0 -12 + 3v = 18 + 0 -12 + 3v = 18 Add '12' to each side of the equation. -12 + 12 + 3v = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 3v = 18 + 12 3v = 18 + 12 Combine like terms: 18 + 12 = 30 3v = 30 Divide each side by '3'. v = 10 Simplifying v = 10
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