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Simplifying 30 = -8v + 6(v + 6) Reorder the terms: 30 = -8v + 6(6 + v) 30 = -8v + (6 * 6 + v * 6) 30 = -8v + (36 + 6v) Reorder the terms: 30 = 36 + -8v + 6v Combine like terms: -8v + 6v = -2v 30 = 36 + -2v Solving 30 = 36 + -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. 30 + 2v = 36 + -2v + 2v Combine like terms: -2v + 2v = 0 30 + 2v = 36 + 0 30 + 2v = 36 Add '-30' to each side of the equation. 30 + -30 + 2v = 36 + -30 Combine like terms: 30 + -30 = 0 0 + 2v = 36 + -30 2v = 36 + -30 Combine like terms: 36 + -30 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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