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Simplifying -82 = -2(5 + -6v) -82 = (5 * -2 + -6v * -2) -82 = (-10 + 12v) Solving -82 = -10 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -82 + -12v = -10 + 12v + -12v Combine like terms: 12v + -12v = 0 -82 + -12v = -10 + 0 -82 + -12v = -10 Add '82' to each side of the equation. -82 + 82 + -12v = -10 + 82 Combine like terms: -82 + 82 = 0 0 + -12v = -10 + 82 -12v = -10 + 82 Combine like terms: -10 + 82 = 72 -12v = 72 Divide each side by '-12'. v = -6 Simplifying v = -6
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