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Simplifying 82 = -2 + 6(v + 6) Reorder the terms: 82 = -2 + 6(6 + v) 82 = -2 + (6 * 6 + v * 6) 82 = -2 + (36 + 6v) Combine like terms: -2 + 36 = 34 82 = 34 + 6v Solving 82 = 34 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 82 + -6v = 34 + 6v + -6v Combine like terms: 6v + -6v = 0 82 + -6v = 34 + 0 82 + -6v = 34 Add '-82' to each side of the equation. 82 + -82 + -6v = 34 + -82 Combine like terms: 82 + -82 = 0 0 + -6v = 34 + -82 -6v = 34 + -82 Combine like terms: 34 + -82 = -48 -6v = -48 Divide each side by '-6'. v = 8 Simplifying v = 8
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