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Simplifying 6(v + 4) + -2v = -12 Reorder the terms: 6(4 + v) + -2v = -12 (4 * 6 + v * 6) + -2v = -12 (24 + 6v) + -2v = -12 Combine like terms: 6v + -2v = 4v 24 + 4v = -12 Solving 24 + 4v = -12 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 + 4v = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 4v = -12 + -24 4v = -12 + -24 Combine like terms: -12 + -24 = -36 4v = -36 Divide each side by '4'. v = -9 Simplifying v = -9
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