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Simplifying 30 = -8v + 2(v + 6) Reorder the terms: 30 = -8v + 2(6 + v) 30 = -8v + (6 * 2 + v * 2) 30 = -8v + (12 + 2v) Reorder the terms: 30 = 12 + -8v + 2v Combine like terms: -8v + 2v = -6v 30 = 12 + -6v Solving 30 = 12 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 30 + 6v = 12 + -6v + 6v Combine like terms: -6v + 6v = 0 30 + 6v = 12 + 0 30 + 6v = 12 Add '-30' to each side of the equation. 30 + -30 + 6v = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 6v = 12 + -30 6v = 12 + -30 Combine like terms: 12 + -30 = -18 6v = -18 Divide each side by '6'. v = -3 Simplifying v = -3
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