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Simplifying 4(v + 2) + -2v = 6 Reorder the terms: 4(2 + v) + -2v = 6 (2 * 4 + v * 4) + -2v = 6 (8 + 4v) + -2v = 6 Combine like terms: 4v + -2v = 2v 8 + 2v = 6 Solving 8 + 2v = 6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2v = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 2v = 6 + -8 2v = 6 + -8 Combine like terms: 6 + -8 = -2 2v = -2 Divide each side by '2'. v = -1 Simplifying v = -1
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