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Simplifying 6(v + 2) + -4v = 2 Reorder the terms: 6(2 + v) + -4v = 2 (2 * 6 + v * 6) + -4v = 2 (12 + 6v) + -4v = 2 Combine like terms: 6v + -4v = 2v 12 + 2v = 2 Solving 12 + 2v = 2 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2v = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = 2 + -12 2v = 2 + -12 Combine like terms: 2 + -12 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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