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Simplifying -60 = -8(7n + -1) + 4(1 + 5n) Reorder the terms: -60 = -8(-1 + 7n) + 4(1 + 5n) -60 = (-1 * -8 + 7n * -8) + 4(1 + 5n) -60 = (8 + -56n) + 4(1 + 5n) -60 = 8 + -56n + (1 * 4 + 5n * 4) -60 = 8 + -56n + (4 + 20n) Reorder the terms: -60 = 8 + 4 + -56n + 20n Combine like terms: 8 + 4 = 12 -60 = 12 + -56n + 20n Combine like terms: -56n + 20n = -36n -60 = 12 + -36n Solving -60 = 12 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -60 + 36n = 12 + -36n + 36n Combine like terms: -36n + 36n = 0 -60 + 36n = 12 + 0 -60 + 36n = 12 Add '60' to each side of the equation. -60 + 60 + 36n = 12 + 60 Combine like terms: -60 + 60 = 0 0 + 36n = 12 + 60 36n = 12 + 60 Combine like terms: 12 + 60 = 72 36n = 72 Divide each side by '36'. n = 2 Simplifying n = 2
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