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Simplifying 8(n + 19) + 2 = 30 + -5n Reorder the terms: 8(19 + n) + 2 = 30 + -5n (19 * 8 + n * 8) + 2 = 30 + -5n (152 + 8n) + 2 = 30 + -5n Reorder the terms: 152 + 2 + 8n = 30 + -5n Combine like terms: 152 + 2 = 154 154 + 8n = 30 + -5n Solving 154 + 8n = 30 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 154 + 8n + 5n = 30 + -5n + 5n Combine like terms: 8n + 5n = 13n 154 + 13n = 30 + -5n + 5n Combine like terms: -5n + 5n = 0 154 + 13n = 30 + 0 154 + 13n = 30 Add '-154' to each side of the equation. 154 + -154 + 13n = 30 + -154 Combine like terms: 154 + -154 = 0 0 + 13n = 30 + -154 13n = 30 + -154 Combine like terms: 30 + -154 = -124 13n = -124 Divide each side by '13'. n = -9.538461538 Simplifying n = -9.538461538
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