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Simplifying 11(n + 2) + 6 = 3n + -4 Reorder the terms: 11(2 + n) + 6 = 3n + -4 (2 * 11 + n * 11) + 6 = 3n + -4 (22 + 11n) + 6 = 3n + -4 Reorder the terms: 22 + 6 + 11n = 3n + -4 Combine like terms: 22 + 6 = 28 28 + 11n = 3n + -4 Reorder the terms: 28 + 11n = -4 + 3n Solving 28 + 11n = -4 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 28 + 11n + -3n = -4 + 3n + -3n Combine like terms: 11n + -3n = 8n 28 + 8n = -4 + 3n + -3n Combine like terms: 3n + -3n = 0 28 + 8n = -4 + 0 28 + 8n = -4 Add '-28' to each side of the equation. 28 + -28 + 8n = -4 + -28 Combine like terms: 28 + -28 = 0 0 + 8n = -4 + -28 8n = -4 + -28 Combine like terms: -4 + -28 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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