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Simplifying 8n + 59 = -11n + 2(11n + 7) Reorder the terms: 59 + 8n = -11n + 2(11n + 7) Reorder the terms: 59 + 8n = -11n + 2(7 + 11n) 59 + 8n = -11n + (7 * 2 + 11n * 2) 59 + 8n = -11n + (14 + 22n) Reorder the terms: 59 + 8n = 14 + -11n + 22n Combine like terms: -11n + 22n = 11n 59 + 8n = 14 + 11n Solving 59 + 8n = 14 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 59 + 8n + -11n = 14 + 11n + -11n Combine like terms: 8n + -11n = -3n 59 + -3n = 14 + 11n + -11n Combine like terms: 11n + -11n = 0 59 + -3n = 14 + 0 59 + -3n = 14 Add '-59' to each side of the equation. 59 + -59 + -3n = 14 + -59 Combine like terms: 59 + -59 = 0 0 + -3n = 14 + -59 -3n = 14 + -59 Combine like terms: 14 + -59 = -45 -3n = -45 Divide each side by '-3'. n = 15 Simplifying n = 15
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