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Simplifying 14 = 8v + 6(v + 7) Reorder the terms: 14 = 8v + 6(7 + v) 14 = 8v + (7 * 6 + v * 6) 14 = 8v + (42 + 6v) Reorder the terms: 14 = 42 + 8v + 6v Combine like terms: 8v + 6v = 14v 14 = 42 + 14v Solving 14 = 42 + 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. 14 + -14v = 42 + 14v + -14v Combine like terms: 14v + -14v = 0 14 + -14v = 42 + 0 14 + -14v = 42 Add '-14' to each side of the equation. 14 + -14 + -14v = 42 + -14 Combine like terms: 14 + -14 = 0 0 + -14v = 42 + -14 -14v = 42 + -14 Combine like terms: 42 + -14 = 28 -14v = 28 Divide each side by '-14'. v = -2 Simplifying v = -2
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