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Simplifying 7(v + 4) = 2v + -12 Reorder the terms: 7(4 + v) = 2v + -12 (4 * 7 + v * 7) = 2v + -12 (28 + 7v) = 2v + -12 Reorder the terms: 28 + 7v = -12 + 2v Solving 28 + 7v = -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 + 7v + -2v = -12 + 2v + -2v Combine like terms: 7v + -2v = 5v 28 + 5v = -12 + 2v + -2v Combine like terms: 2v + -2v = 0 28 + 5v = -12 + 0 28 + 5v = -12 Add '-28' to each side of the equation. 28 + -28 + 5v = -12 + -28 Combine like terms: 28 + -28 = 0 0 + 5v = -12 + -28 5v = -12 + -28 Combine like terms: -12 + -28 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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