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Simplifying 30 = 2(v + 8) + -4v Reorder the terms: 30 = 2(8 + v) + -4v 30 = (8 * 2 + v * 2) + -4v 30 = (16 + 2v) + -4v Combine like terms: 2v + -4v = -2v 30 = 16 + -2v Solving 30 = 16 + -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 = 16 + -2v + 2v Combine like terms: -2v + 2v = 0 30 + 2v = 16 + 0 30 + 2v = 16 Add '-30' to each side of the equation. 30 + -30 + 2v = 16 + -30 Combine like terms: 30 + -30 = 0 0 + 2v = 16 + -30 2v = 16 + -30 Combine like terms: 16 + -30 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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