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Simplifying 54.900576 = 0.073n + -5.1(-4.1n + -8) Reorder the terms: 54.900576 = 0.073n + -5.1(-8 + -4.1n) 54.900576 = 0.073n + (-8 * -5.1 + -4.1n * -5.1) 54.900576 = 0.073n + (40.8 + 20.91n) Reorder the terms: 54.900576 = 40.8 + 0.073n + 20.91n Combine like terms: 0.073n + 20.91n = 20.983n 54.900576 = 40.8 + 20.983n Solving 54.900576 = 40.8 + 20.983n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20.983n' to each side of the equation. 54.900576 + -20.983n = 40.8 + 20.983n + -20.983n Combine like terms: 20.983n + -20.983n = 0.000 54.900576 + -20.983n = 40.8 + 0.000 54.900576 + -20.983n = 40.8 Add '-54.900576' to each side of the equation. 54.900576 + -54.900576 + -20.983n = 40.8 + -54.900576 Combine like terms: 54.900576 + -54.900576 = 0.000000 0.000000 + -20.983n = 40.8 + -54.900576 -20.983n = 40.8 + -54.900576 Combine like terms: 40.8 + -54.900576 = -14.100576 -20.983n = -14.100576 Divide each side by '-20.983'. n = 0.672 Simplifying n = 0.672
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