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Simplifying 8 + 7(1 + -2v) = 0 8 + (1 * 7 + -2v * 7) = 0 8 + (7 + -14v) = 0 Combine like terms: 8 + 7 = 15 15 + -14v = 0 Solving 15 + -14v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -14v = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -14v = 0 + -15 -14v = 0 + -15 Combine like terms: 0 + -15 = -15 -14v = -15 Divide each side by '-14'. v = 1.071428571 Simplifying v = 1.071428571
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