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Simplifying 7[n + 4] + 6n = -1[-5n + -8] Reorder the terms: 7[4 + n] + 6n = -1[-5n + -8] [4 * 7 + n * 7] + 6n = -1[-5n + -8] [28 + 7n] + 6n = -1[-5n + -8] Combine like terms: 7n + 6n = 13n 28 + 13n = -1[-5n + -8] Reorder the terms: 28 + 13n = -1[-8 + -5n] 28 + 13n = [-8 * -1 + -5n * -1] 28 + 13n = [8 + 5n] Solving 28 + 13n = 8 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 28 + 13n + -5n = 8 + 5n + -5n Combine like terms: 13n + -5n = 8n 28 + 8n = 8 + 5n + -5n Combine like terms: 5n + -5n = 0 28 + 8n = 8 + 0 28 + 8n = 8 Add '-28' to each side of the equation. 28 + -28 + 8n = 8 + -28 Combine like terms: 28 + -28 = 0 0 + 8n = 8 + -28 8n = 8 + -28 Combine like terms: 8 + -28 = -20 8n = -20 Divide each side by '8'. n = -2.5 Simplifying n = -2.5
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