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Simplifying -4v + 2(v + 8) = 12 Reorder the terms: -4v + 2(8 + v) = 12 -4v + (8 * 2 + v * 2) = 12 -4v + (16 + 2v) = 12 Reorder the terms: 16 + -4v + 2v = 12 Combine like terms: -4v + 2v = -2v 16 + -2v = 12 Solving 16 + -2v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2v = 12 + -16 Combine like terms: 16 + -16 = 0 0 + -2v = 12 + -16 -2v = 12 + -16 Combine like terms: 12 + -16 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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