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Simplifying -51 = 7(-1 + 2v) + 2 -51 = (-1 * 7 + 2v * 7) + 2 -51 = (-7 + 14v) + 2 Reorder the terms: -51 = -7 + 2 + 14v Combine like terms: -7 + 2 = -5 -51 = -5 + 14v Solving -51 = -5 + 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 = -5 + 14v + -14v Combine like terms: 14v + -14v = 0 -51 + -14v = -5 + 0 -51 + -14v = -5 Add '51' to each side of the equation. -51 + 51 + -14v = -5 + 51 Combine like terms: -51 + 51 = 0 0 + -14v = -5 + 51 -14v = -5 + 51 Combine like terms: -5 + 51 = 46 -14v = 46 Divide each side by '-14'. v = -3.285714286 Simplifying v = -3.285714286
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