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Simplifying -92 + 7(-4n + -59) = 2n + 85 + 100 Reorder the terms: -92 + 7(-59 + -4n) = 2n + 85 + 100 -92 + (-59 * 7 + -4n * 7) = 2n + 85 + 100 -92 + (-413 + -28n) = 2n + 85 + 100 Combine like terms: -92 + -413 = -505 -505 + -28n = 2n + 85 + 100 Reorder the terms: -505 + -28n = 85 + 100 + 2n Combine like terms: 85 + 100 = 185 -505 + -28n = 185 + 2n Solving -505 + -28n = 185 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -505 + -28n + -2n = 185 + 2n + -2n Combine like terms: -28n + -2n = -30n -505 + -30n = 185 + 2n + -2n Combine like terms: 2n + -2n = 0 -505 + -30n = 185 + 0 -505 + -30n = 185 Add '505' to each side of the equation. -505 + 505 + -30n = 185 + 505 Combine like terms: -505 + 505 = 0 0 + -30n = 185 + 505 -30n = 185 + 505 Combine like terms: 185 + 505 = 690 -30n = 690 Divide each side by '-30'. n = -23 Simplifying n = -23
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