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Simplifying 51 = 7(-1 + 2v + 2) Reorder the terms: 51 = 7(-1 + 2 + 2v) Combine like terms: -1 + 2 = 1 51 = 7(1 + 2v) 51 = (1 * 7 + 2v * 7) 51 = (7 + 14v) Solving 51 = 7 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 51 + -14v = 7 + 14v + -14v Combine like terms: 14v + -14v = 0 51 + -14v = 7 + 0 51 + -14v = 7 Add '-51' to each side of the equation. 51 + -51 + -14v = 7 + -51 Combine like terms: 51 + -51 = 0 0 + -14v = 7 + -51 -14v = 7 + -51 Combine like terms: 7 + -51 = -44 -14v = -44 Divide each side by '-14'. v = 3.142857143 Simplifying v = 3.142857143
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