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Simplifying 4 = 6(v + 2) + -4v Reorder the terms: 4 = 6(2 + v) + -4v 4 = (2 * 6 + v * 6) + -4v 4 = (12 + 6v) + -4v Combine like terms: 6v + -4v = 2v 4 = 12 + 2v Solving 4 = 12 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 4 + -2v = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 4 + -2v = 12 + 0 4 + -2v = 12 Add '-4' to each side of the equation. 4 + -4 + -2v = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -2v = 12 + -4 -2v = 12 + -4 Combine like terms: 12 + -4 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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