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Simplifying 8n + 42 = 96 + 6n Reorder the terms: 42 + 8n = 96 + 6n Solving 42 + 8n = 96 + 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. 42 + 8n + -6n = 96 + 6n + -6n Combine like terms: 8n + -6n = 2n 42 + 2n = 96 + 6n + -6n Combine like terms: 6n + -6n = 0 42 + 2n = 96 + 0 42 + 2n = 96 Add '-42' to each side of the equation. 42 + -42 + 2n = 96 + -42 Combine like terms: 42 + -42 = 0 0 + 2n = 96 + -42 2n = 96 + -42 Combine like terms: 96 + -42 = 54 2n = 54 Divide each side by '2'. n = 27 Simplifying n = 27
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