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Simplifying 2(v + 8) = -2v + 28 Reorder the terms: 2(8 + v) = -2v + 28 (8 * 2 + v * 2) = -2v + 28 (16 + 2v) = -2v + 28 Reorder the terms: 16 + 2v = 28 + -2v Solving 16 + 2v = 28 + -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. 16 + 2v + 2v = 28 + -2v + 2v Combine like terms: 2v + 2v = 4v 16 + 4v = 28 + -2v + 2v Combine like terms: -2v + 2v = 0 16 + 4v = 28 + 0 16 + 4v = 28 Add '-16' to each side of the equation. 16 + -16 + 4v = 28 + -16 Combine like terms: 16 + -16 = 0 0 + 4v = 28 + -16 4v = 28 + -16 Combine like terms: 28 + -16 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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