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Simplifying 2(2v + 1) = -28 + 8v Reorder the terms: 2(1 + 2v) = -28 + 8v (1 * 2 + 2v * 2) = -28 + 8v (2 + 4v) = -28 + 8v Solving 2 + 4v = -28 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 2 + 4v + -8v = -28 + 8v + -8v Combine like terms: 4v + -8v = -4v 2 + -4v = -28 + 8v + -8v Combine like terms: 8v + -8v = 0 2 + -4v = -28 + 0 2 + -4v = -28 Add '-2' to each side of the equation. 2 + -2 + -4v = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -4v = -28 + -2 -4v = -28 + -2 Combine like terms: -28 + -2 = -30 -4v = -30 Divide each side by '-4'. v = 7.5 Simplifying v = 7.5
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