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Simplifying 2v + -12 = 3(v + -8) + 3v Reorder the terms: -12 + 2v = 3(v + -8) + 3v Reorder the terms: -12 + 2v = 3(-8 + v) + 3v -12 + 2v = (-8 * 3 + v * 3) + 3v -12 + 2v = (-24 + 3v) + 3v Combine like terms: 3v + 3v = 6v -12 + 2v = -24 + 6v Solving -12 + 2v = -24 + 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. -12 + 2v + -6v = -24 + 6v + -6v Combine like terms: 2v + -6v = -4v -12 + -4v = -24 + 6v + -6v Combine like terms: 6v + -6v = 0 -12 + -4v = -24 + 0 -12 + -4v = -24 Add '12' to each side of the equation. -12 + 12 + -4v = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -4v = -24 + 12 -4v = -24 + 12 Combine like terms: -24 + 12 = -12 -4v = -12 Divide each side by '-4'. v = 3 Simplifying v = 3
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