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Simplifying -12 = 2(v + 4) + 3v Reorder the terms: -12 = 2(4 + v) + 3v -12 = (4 * 2 + v * 2) + 3v -12 = (8 + 2v) + 3v Combine like terms: 2v + 3v = 5v -12 = 8 + 5v Solving -12 = 8 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -12 + -5v = 8 + 5v + -5v Combine like terms: 5v + -5v = 0 -12 + -5v = 8 + 0 -12 + -5v = 8 Add '12' to each side of the equation. -12 + 12 + -5v = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -5v = 8 + 12 -5v = 8 + 12 Combine like terms: 8 + 12 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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