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Simplifying 3(v + -8) = 9v + -12 Reorder the terms: 3(-8 + v) = 9v + -12 (-8 * 3 + v * 3) = 9v + -12 (-24 + 3v) = 9v + -12 Reorder the terms: -24 + 3v = -12 + 9v Solving -24 + 3v = -12 + 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. -24 + 3v + -9v = -12 + 9v + -9v Combine like terms: 3v + -9v = -6v -24 + -6v = -12 + 9v + -9v Combine like terms: 9v + -9v = 0 -24 + -6v = -12 + 0 -24 + -6v = -12 Add '24' to each side of the equation. -24 + 24 + -6v = -12 + 24 Combine like terms: -24 + 24 = 0 0 + -6v = -12 + 24 -6v = -12 + 24 Combine like terms: -12 + 24 = 12 -6v = 12 Divide each side by '-6'. v = -2 Simplifying v = -2
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