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Simplifying -4 = 4(v + 2) + -6v Reorder the terms: -4 = 4(2 + v) + -6v -4 = (2 * 4 + v * 4) + -6v -4 = (8 + 4v) + -6v Combine like terms: 4v + -6v = -2v -4 = 8 + -2v Solving -4 = 8 + -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 = 8 + -2v + 2v Combine like terms: -2v + 2v = 0 -4 + 2v = 8 + 0 -4 + 2v = 8 Add '4' to each side of the equation. -4 + 4 + 2v = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 2v = 8 + 4 2v = 8 + 4 Combine like terms: 8 + 4 = 12 2v = 12 Divide each side by '2'. v = 6 Simplifying v = 6
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