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Simplifying 5(n + 30) = 3[1 + -92n] Reorder the terms: 5(30 + n) = 3[1 + -92n] (30 * 5 + n * 5) = 3[1 + -92n] (150 + 5n) = 3[1 + -92n] 150 + 5n = [1 * 3 + -92n * 3] 150 + 5n = [3 + -276n] Solving 150 + 5n = 3 + -276n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '276n' to each side of the equation. 150 + 5n + 276n = 3 + -276n + 276n Combine like terms: 5n + 276n = 281n 150 + 281n = 3 + -276n + 276n Combine like terms: -276n + 276n = 0 150 + 281n = 3 + 0 150 + 281n = 3 Add '-150' to each side of the equation. 150 + -150 + 281n = 3 + -150 Combine like terms: 150 + -150 = 0 0 + 281n = 3 + -150 281n = 3 + -150 Combine like terms: 3 + -150 = -147 281n = -147 Divide each side by '281'. n = -0.5231316726 Simplifying n = -0.5231316726
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