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Simplifying 3v + 2(2v + 8) = 65 Reorder the terms: 3v + 2(8 + 2v) = 65 3v + (8 * 2 + 2v * 2) = 65 3v + (16 + 4v) = 65 Reorder the terms: 16 + 3v + 4v = 65 Combine like terms: 3v + 4v = 7v 16 + 7v = 65 Solving 16 + 7v = 65 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7v = 65 + -16 Combine like terms: 16 + -16 = 0 0 + 7v = 65 + -16 7v = 65 + -16 Combine like terms: 65 + -16 = 49 7v = 49 Divide each side by '7'. v = 7 Simplifying v = 7
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