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Simplifying 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 = -58 -14v = -58 Divide each side by '-14'. v = 4.142857143 Simplifying v = 4.142857143
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