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Simplifying 2(v + 7) + 10 = 48 Reorder the terms: 2(7 + v) + 10 = 48 (7 * 2 + v * 2) + 10 = 48 (14 + 2v) + 10 = 48 Reorder the terms: 14 + 10 + 2v = 48 Combine like terms: 14 + 10 = 24 24 + 2v = 48 Solving 24 + 2v = 48 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 2v = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 2v = 48 + -24 2v = 48 + -24 Combine like terms: 48 + -24 = 24 2v = 24 Divide each side by '2'. v = 12 Simplifying v = 12
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