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Simplifying 2(2v + 7) = 42 Reorder the terms: 2(7 + 2v) = 42 (7 * 2 + 2v * 2) = 42 (14 + 4v) = 42 Solving 14 + 4v = 42 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4v = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 4v = 42 + -14 4v = 42 + -14 Combine like terms: 42 + -14 = 28 4v = 28 Divide each side by '4'. v = 7 Simplifying v = 7
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