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Simplifying -3.4 + 4.2(-5.4n + 8) = 92.948 Reorder the terms: -3.4 + 4.2(8 + -5.4n) = 92.948 -3.4 + (8 * 4.2 + -5.4n * 4.2) = 92.948 -3.4 + (33.6 + -22.68n) = 92.948 Combine like terms: -3.4 + 33.6 = 30.2 30.2 + -22.68n = 92.948 Solving 30.2 + -22.68n = 92.948 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30.2' to each side of the equation. 30.2 + -30.2 + -22.68n = 92.948 + -30.2 Combine like terms: 30.2 + -30.2 = 0.0 0.0 + -22.68n = 92.948 + -30.2 -22.68n = 92.948 + -30.2 Combine like terms: 92.948 + -30.2 = 62.748 -22.68n = 62.748 Divide each side by '-22.68'. n = -2.766666667 Simplifying n = -2.766666667
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