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Simplifying 30 = 6(v + 2) + -8v Reorder the terms: 30 = 6(2 + v) + -8v 30 = (2 * 6 + v * 6) + -8v 30 = (12 + 6v) + -8v Combine like terms: 6v + -8v = -2v 30 = 12 + -2v Solving 30 = 12 + -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 = 12 + -2v + 2v Combine like terms: -2v + 2v = 0 30 + 2v = 12 + 0 30 + 2v = 12 Add '-30' to each side of the equation. 30 + -30 + 2v = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 2v = 12 + -30 2v = 12 + -30 Combine like terms: 12 + -30 = -18 2v = -18 Divide each side by '2'. v = -9 Simplifying v = -9
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