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Simplifying 28 = -8v + 6(v + 8) Reorder the terms: 28 = -8v + 6(8 + v) 28 = -8v + (8 * 6 + v * 6) 28 = -8v + (48 + 6v) Reorder the terms: 28 = 48 + -8v + 6v Combine like terms: -8v + 6v = -2v 28 = 48 + -2v Solving 28 = 48 + -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 + 2v = 48 + -2v + 2v Combine like terms: -2v + 2v = 0 28 + 2v = 48 + 0 28 + 2v = 48 Add '-28' to each side of the equation. 28 + -28 + 2v = 48 + -28 Combine like terms: 28 + -28 = 0 0 + 2v = 48 + -28 2v = 48 + -28 Combine like terms: 48 + -28 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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