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Simplifying 8(n + 1) + -7 = 2n + 3 Reorder the terms: 8(1 + n) + -7 = 2n + 3 (1 * 8 + n * 8) + -7 = 2n + 3 (8 + 8n) + -7 = 2n + 3 Reorder the terms: 8 + -7 + 8n = 2n + 3 Combine like terms: 8 + -7 = 1 1 + 8n = 2n + 3 Reorder the terms: 1 + 8n = 3 + 2n Solving 1 + 8n = 3 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 1 + 8n + -2n = 3 + 2n + -2n Combine like terms: 8n + -2n = 6n 1 + 6n = 3 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 6n = 3 + 0 1 + 6n = 3 Add '-1' to each side of the equation. 1 + -1 + 6n = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 6n = 3 + -1 6n = 3 + -1 Combine like terms: 3 + -1 = 2 6n = 2 Divide each side by '6'. n = 0.3333333333 Simplifying n = 0.3333333333
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