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Simplifying 123.7 + -87(76 + -7) * 6(8 + -1n) + -6 = 3(7687 + -7.5n) + 89n Combine like terms: 76 + -7 = 69 123.7 + -87(69) * 6(8 + -1n) + -6 = 3(7687 + -7.5n) + 89n Multiply -87 * 69 123.7 + -6003 * 6(8 + -1n) + -6 = 3(7687 + -7.5n) + 89n Multiply -6003 * 6 123.7 + -36018(8 + -1n) + -6 = 3(7687 + -7.5n) + 89n 123.7 + (8 * -36018 + -1n * -36018) + -6 = 3(7687 + -7.5n) + 89n 123.7 + (-288144 + 36018n) + -6 = 3(7687 + -7.5n) + 89n Reorder the terms: 123.7 + -288144 + -6 + 36018n = 3(7687 + -7.5n) + 89n Combine like terms: 123.7 + -288144 = -288020.3 -288020.3 + -6 + 36018n = 3(7687 + -7.5n) + 89n Combine like terms: -288020.3 + -6 = -288026.3 -288026.3 + 36018n = 3(7687 + -7.5n) + 89n -288026.3 + 36018n = (7687 * 3 + -7.5n * 3) + 89n -288026.3 + 36018n = (23061 + -22.5n) + 89n Combine like terms: -22.5n + 89n = 66.5n -288026.3 + 36018n = 23061 + 66.5n Solving -288026.3 + 36018n = 23061 + 66.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-66.5n' to each side of the equation. -288026.3 + 36018n + -66.5n = 23061 + 66.5n + -66.5n Combine like terms: 36018n + -66.5n = 35951.5n -288026.3 + 35951.5n = 23061 + 66.5n + -66.5n Combine like terms: 66.5n + -66.5n = 0.0 -288026.3 + 35951.5n = 23061 + 0.0 -288026.3 + 35951.5n = 23061 Add '288026.3' to each side of the equation. -288026.3 + 288026.3 + 35951.5n = 23061 + 288026.3 Combine like terms: -288026.3 + 288026.3 = 0.0 0.0 + 35951.5n = 23061 + 288026.3 35951.5n = 23061 + 288026.3 Combine like terms: 23061 + 288026.3 = 311087.3 35951.5n = 311087.3 Divide each side by '35951.5'. n = 8.652971364 Simplifying n = 8.652971364
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