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Simplifying 8(v + 4) + -4 = 2(2v + 4) + -12 Reorder the terms: 8(4 + v) + -4 = 2(2v + 4) + -12 (4 * 8 + v * 8) + -4 = 2(2v + 4) + -12 (32 + 8v) + -4 = 2(2v + 4) + -12 Reorder the terms: 32 + -4 + 8v = 2(2v + 4) + -12 Combine like terms: 32 + -4 = 28 28 + 8v = 2(2v + 4) + -12 Reorder the terms: 28 + 8v = 2(4 + 2v) + -12 28 + 8v = (4 * 2 + 2v * 2) + -12 28 + 8v = (8 + 4v) + -12 Reorder the terms: 28 + 8v = 8 + -12 + 4v Combine like terms: 8 + -12 = -4 28 + 8v = -4 + 4v Solving 28 + 8v = -4 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 28 + 8v + -4v = -4 + 4v + -4v Combine like terms: 8v + -4v = 4v 28 + 4v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 28 + 4v = -4 + 0 28 + 4v = -4 Add '-28' to each side of the equation. 28 + -28 + 4v = -4 + -28 Combine like terms: 28 + -28 = 0 0 + 4v = -4 + -28 4v = -4 + -28 Combine like terms: -4 + -28 = -32 4v = -32 Divide each side by '4'. v = -8 Simplifying v = -8
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