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Simplifying 4(v + 3) + -2v = 6 Reorder the terms: 4(3 + v) + -2v = 6 (3 * 4 + v * 4) + -2v = 6 (12 + 4v) + -2v = 6 Combine like terms: 4v + -2v = 2v 12 + 2v = 6 Solving 12 + 2v = 6 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 = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = 6 + -12 2v = 6 + -12 Combine like terms: 6 + -12 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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