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Simplifying -82 = 2(1 + -5v) + -4v -82 = (1 * 2 + -5v * 2) + -4v -82 = (2 + -10v) + -4v Combine like terms: -10v + -4v = -14v -82 = 2 + -14v Solving -82 = 2 + -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. -82 + 14v = 2 + -14v + 14v Combine like terms: -14v + 14v = 0 -82 + 14v = 2 + 0 -82 + 14v = 2 Add '82' to each side of the equation. -82 + 82 + 14v = 2 + 82 Combine like terms: -82 + 82 = 0 0 + 14v = 2 + 82 14v = 2 + 82 Combine like terms: 2 + 82 = 84 14v = 84 Divide each side by '14'. v = 6 Simplifying v = 6
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