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Simplifying 2(8 + -7v) = -82 (8 * 2 + -7v * 2) = -82 (16 + -14v) = -82 Solving 16 + -14v = -82 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -14v = -82 + -16 Combine like terms: 16 + -16 = 0 0 + -14v = -82 + -16 -14v = -82 + -16 Combine like terms: -82 + -16 = -98 -14v = -98 Divide each side by '-14'. v = 7 Simplifying v = 7
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