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Simplifying 2(8n + 33) + 7(n + 1) = 0 Reorder the terms: 2(33 + 8n) + 7(n + 1) = 0 (33 * 2 + 8n * 2) + 7(n + 1) = 0 (66 + 16n) + 7(n + 1) = 0 Reorder the terms: 66 + 16n + 7(1 + n) = 0 66 + 16n + (1 * 7 + n * 7) = 0 66 + 16n + (7 + 7n) = 0 Reorder the terms: 66 + 7 + 16n + 7n = 0 Combine like terms: 66 + 7 = 73 73 + 16n + 7n = 0 Combine like terms: 16n + 7n = 23n 73 + 23n = 0 Solving 73 + 23n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-73' to each side of the equation. 73 + -73 + 23n = 0 + -73 Combine like terms: 73 + -73 = 0 0 + 23n = 0 + -73 23n = 0 + -73 Combine like terms: 0 + -73 = -73 23n = -73 Divide each side by '23'. n = -3.173913043 Simplifying n = -3.173913043
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