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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 = -56 14v = -56 Divide each side by '14'. v = -4 Simplifying v = -4
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