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Simplifying 82 = -3n + 8(1 + 5n) 82 = -3n + (1 * 8 + 5n * 8) 82 = -3n + (8 + 40n) Reorder the terms: 82 = 8 + -3n + 40n Combine like terms: -3n + 40n = 37n 82 = 8 + 37n Solving 82 = 8 + 37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37n' to each side of the equation. 82 + -37n = 8 + 37n + -37n Combine like terms: 37n + -37n = 0 82 + -37n = 8 + 0 82 + -37n = 8 Add '-82' to each side of the equation. 82 + -82 + -37n = 8 + -82 Combine like terms: 82 + -82 = 0 0 + -37n = 8 + -82 -37n = 8 + -82 Combine like terms: 8 + -82 = -74 -37n = -74 Divide each side by '-37'. n = 2 Simplifying n = 2
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