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Simplifying -8 = 2(v + 6) + 3v Reorder the terms: -8 = 2(6 + v) + 3v -8 = (6 * 2 + v * 2) + 3v -8 = (12 + 2v) + 3v Combine like terms: 2v + 3v = 5v -8 = 12 + 5v Solving -8 = 12 + 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. -8 + -5v = 12 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + -5v = 12 + 0 -8 + -5v = 12 Add '8' to each side of the equation. -8 + 8 + -5v = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -5v = 12 + 8 -5v = 12 + 8 Combine like terms: 12 + 8 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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