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Simplifying 8n + 6 = 6n + -52 Reorder the terms: 6 + 8n = 6n + -52 Reorder the terms: 6 + 8n = -52 + 6n Solving 6 + 8n = -52 + 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. 6 + 8n + -6n = -52 + 6n + -6n Combine like terms: 8n + -6n = 2n 6 + 2n = -52 + 6n + -6n Combine like terms: 6n + -6n = 0 6 + 2n = -52 + 0 6 + 2n = -52 Add '-6' to each side of the equation. 6 + -6 + 2n = -52 + -6 Combine like terms: 6 + -6 = 0 0 + 2n = -52 + -6 2n = -52 + -6 Combine like terms: -52 + -6 = -58 2n = -58 Divide each side by '2'. n = -29 Simplifying n = -29
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