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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 Reorder the terms: 8 + 4v = -6 + 2v Solving 8 + 4v = -6 + 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. 8 + 4v + -2v = -6 + 2v + -2v Combine like terms: 4v + -2v = 2v 8 + 2v = -6 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + 2v = -6 + 0 8 + 2v = -6 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 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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