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Simplifying 4(v + 6) + -2v = 8 Reorder the terms: 4(6 + v) + -2v = 8 (6 * 4 + v * 4) + -2v = 8 (24 + 4v) + -2v = 8 Combine like terms: 4v + -2v = 2v 24 + 2v = 8 Solving 24 + 2v = 8 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2v = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 2v = 8 + -24 2v = 8 + -24 Combine like terms: 8 + -24 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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