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Simplifying 2(v + 5) = -8v + 30 Reorder the terms: 2(5 + v) = -8v + 30 (5 * 2 + v * 2) = -8v + 30 (10 + 2v) = -8v + 30 Reorder the terms: 10 + 2v = 30 + -8v Solving 10 + 2v = 30 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 10 + 2v + 8v = 30 + -8v + 8v Combine like terms: 2v + 8v = 10v 10 + 10v = 30 + -8v + 8v Combine like terms: -8v + 8v = 0 10 + 10v = 30 + 0 10 + 10v = 30 Add '-10' to each side of the equation. 10 + -10 + 10v = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 10v = 30 + -10 10v = 30 + -10 Combine like terms: 30 + -10 = 20 10v = 20 Divide each side by '10'. v = 2 Simplifying v = 2
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