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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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