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Simplifying 4(v + 7) = 12 + 2v Reorder the terms: 4(7 + v) = 12 + 2v (7 * 4 + v * 4) = 12 + 2v (28 + 4v) = 12 + 2v Solving 28 + 4v = 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. 28 + 4v + -2v = 12 + 2v + -2v Combine like terms: 4v + -2v = 2v 28 + 2v = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 28 + 2v = 12 + 0 28 + 2v = 12 Add '-28' to each side of the equation. 28 + -28 + 2v = 12 + -28 Combine like terms: 28 + -28 = 0 0 + 2v = 12 + -28 2v = 12 + -28 Combine like terms: 12 + -28 = -16 2v = -16 Divide each side by '2'. v = -8 Simplifying v = -8
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