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Simplifying 5(7n + 32) + 8(n + 1) = 0 Reorder the terms: 5(32 + 7n) + 8(n + 1) = 0 (32 * 5 + 7n * 5) + 8(n + 1) = 0 (160 + 35n) + 8(n + 1) = 0 Reorder the terms: 160 + 35n + 8(1 + n) = 0 160 + 35n + (1 * 8 + n * 8) = 0 160 + 35n + (8 + 8n) = 0 Reorder the terms: 160 + 8 + 35n + 8n = 0 Combine like terms: 160 + 8 = 168 168 + 35n + 8n = 0 Combine like terms: 35n + 8n = 43n 168 + 43n = 0 Solving 168 + 43n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-168' to each side of the equation. 168 + -168 + 43n = 0 + -168 Combine like terms: 168 + -168 = 0 0 + 43n = 0 + -168 43n = 0 + -168 Combine like terms: 0 + -168 = -168 43n = -168 Divide each side by '43'. n = -3.906976744 Simplifying n = -3.906976744
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