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Simplifying 6n + -1[1 + -5(5n + -9)] = 0 Reorder the terms: 6n + -1[1 + -5(-9 + 5n)] = 0 6n + -1[1 + (-9 * -5 + 5n * -5)] = 0 6n + -1[1 + (45 + -25n)] = 0 Combine like terms: 1 + 45 = 46 6n + -1[46 + -25n] = 0 6n + [46 * -1 + -25n * -1] = 0 6n + [-46 + 25n] = 0 Reorder the terms: -46 + 6n + 25n = 0 Combine like terms: 6n + 25n = 31n -46 + 31n = 0 Solving -46 + 31n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 31n = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 31n = 0 + 46 31n = 0 + 46 Combine like terms: 0 + 46 = 46 31n = 46 Divide each side by '31'. n = 1.483870968 Simplifying n = 1.483870968
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