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Simplifying 7(2v + 7) + -6 = 113 Reorder the terms: 7(7 + 2v) + -6 = 113 (7 * 7 + 2v * 7) + -6 = 113 (49 + 14v) + -6 = 113 Reorder the terms: 49 + -6 + 14v = 113 Combine like terms: 49 + -6 = 43 43 + 14v = 113 Solving 43 + 14v = 113 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 14v = 113 + -43 Combine like terms: 43 + -43 = 0 0 + 14v = 113 + -43 14v = 113 + -43 Combine like terms: 113 + -43 = 70 14v = 70 Divide each side by '14'. v = 5 Simplifying v = 5
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