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Simplifying 12 + -5n + 11 = 2n + -8n Reorder the terms: 12 + 11 + -5n = 2n + -8n Combine like terms: 12 + 11 = 23 23 + -5n = 2n + -8n Combine like terms: 2n + -8n = -6n 23 + -5n = -6n Solving 23 + -5n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 23 + -5n + 6n = -6n + 6n Combine like terms: -5n + 6n = 1n 23 + 1n = -6n + 6n Combine like terms: -6n + 6n = 0 23 + 1n = 0 Add '-23' to each side of the equation. 23 + -23 + 1n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 1n = 0 + -23 1n = 0 + -23 Combine like terms: 0 + -23 = -23 1n = -23 Divide each side by '1'. n = -23 Simplifying n = -23
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