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Simplifying -82 = -2(1 + 8n) -82 = (1 * -2 + 8n * -2) -82 = (-2 + -16n) Solving -82 = -2 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -82 + 16n = -2 + -16n + 16n Combine like terms: -16n + 16n = 0 -82 + 16n = -2 + 0 -82 + 16n = -2 Add '82' to each side of the equation. -82 + 82 + 16n = -2 + 82 Combine like terms: -82 + 82 = 0 0 + 16n = -2 + 82 16n = -2 + 82 Combine like terms: -2 + 82 = 80 16n = 80 Divide each side by '16'. n = 5 Simplifying n = 5
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