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Simplifying -82 = -2(5v + 6) Reorder the terms: -82 = -2(6 + 5v) -82 = (6 * -2 + 5v * -2) -82 = (-12 + -10v) Solving -82 = -12 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. -82 + 10v = -12 + -10v + 10v Combine like terms: -10v + 10v = 0 -82 + 10v = -12 + 0 -82 + 10v = -12 Add '82' to each side of the equation. -82 + 82 + 10v = -12 + 82 Combine like terms: -82 + 82 = 0 0 + 10v = -12 + 82 10v = -12 + 82 Combine like terms: -12 + 82 = 70 10v = 70 Divide each side by '10'. v = 7 Simplifying v = 7
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