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Simplifying 3 + 7(7 + 2v) = 164 3 + (7 * 7 + 2v * 7) = 164 3 + (49 + 14v) = 164 Combine like terms: 3 + 49 = 52 52 + 14v = 164 Solving 52 + 14v = 164 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 14v = 164 + -52 Combine like terms: 52 + -52 = 0 0 + 14v = 164 + -52 14v = 164 + -52 Combine like terms: 164 + -52 = 112 14v = 112 Divide each side by '14'. v = 8 Simplifying v = 8
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