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Simplifying 80 = -4(2n + 8) + 6(11n + 9) Reorder the terms: 80 = -4(8 + 2n) + 6(11n + 9) 80 = (8 * -4 + 2n * -4) + 6(11n + 9) 80 = (-32 + -8n) + 6(11n + 9) Reorder the terms: 80 = -32 + -8n + 6(9 + 11n) 80 = -32 + -8n + (9 * 6 + 11n * 6) 80 = -32 + -8n + (54 + 66n) Reorder the terms: 80 = -32 + 54 + -8n + 66n Combine like terms: -32 + 54 = 22 80 = 22 + -8n + 66n Combine like terms: -8n + 66n = 58n 80 = 22 + 58n Solving 80 = 22 + 58n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-58n' to each side of the equation. 80 + -58n = 22 + 58n + -58n Combine like terms: 58n + -58n = 0 80 + -58n = 22 + 0 80 + -58n = 22 Add '-80' to each side of the equation. 80 + -80 + -58n = 22 + -80 Combine like terms: 80 + -80 = 0 0 + -58n = 22 + -80 -58n = 22 + -80 Combine like terms: 22 + -80 = -58 -58n = -58 Divide each side by '-58'. n = 1 Simplifying n = 1
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