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Simplifying 51 = 7(11 + 2v) + 2 51 = (11 * 7 + 2v * 7) + 2 51 = (77 + 14v) + 2 Reorder the terms: 51 = 77 + 2 + 14v Combine like terms: 77 + 2 = 79 51 = 79 + 14v Solving 51 = 79 + 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 = 79 + 14v + -14v Combine like terms: 14v + -14v = 0 51 + -14v = 79 + 0 51 + -14v = 79 Add '-51' to each side of the equation. 51 + -51 + -14v = 79 + -51 Combine like terms: 51 + -51 = 0 0 + -14v = 79 + -51 -14v = 79 + -51 Combine like terms: 79 + -51 = 28 -14v = 28 Divide each side by '-14'. v = -2 Simplifying v = -2
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