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Simplifying -82 = -2 + 4(7n + 8) Reorder the terms: -82 = -2 + 4(8 + 7n) -82 = -2 + (8 * 4 + 7n * 4) -82 = -2 + (32 + 28n) Combine like terms: -2 + 32 = 30 -82 = 30 + 28n Solving -82 = 30 + 28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-28n' to each side of the equation. -82 + -28n = 30 + 28n + -28n Combine like terms: 28n + -28n = 0 -82 + -28n = 30 + 0 -82 + -28n = 30 Add '82' to each side of the equation. -82 + 82 + -28n = 30 + 82 Combine like terms: -82 + 82 = 0 0 + -28n = 30 + 82 -28n = 30 + 82 Combine like terms: 30 + 82 = 112 -28n = 112 Divide each side by '-28'. n = -4 Simplifying n = -4
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