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Simplifying 30 = 2(v + 3) + -8v Reorder the terms: 30 = 2(3 + v) + -8v 30 = (3 * 2 + v * 2) + -8v 30 = (6 + 2v) + -8v Combine like terms: 2v + -8v = -6v 30 = 6 + -6v Solving 30 = 6 + -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 = 6 + -6v + 6v Combine like terms: -6v + 6v = 0 30 + 6v = 6 + 0 30 + 6v = 6 Add '-30' to each side of the equation. 30 + -30 + 6v = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 6v = 6 + -30 6v = 6 + -30 Combine like terms: 6 + -30 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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