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Simplifying (n + 2) * 8 + -1(n + 2) = 49 Reorder the terms: (2 + n) * 8 + -1(n + 2) = 49 Reorder the terms for easier multiplication: 8(2 + n) + -1(n + 2) = 49 (2 * 8 + n * 8) + -1(n + 2) = 49 (16 + 8n) + -1(n + 2) = 49 Reorder the terms: 16 + 8n + -1(2 + n) = 49 16 + 8n + (2 * -1 + n * -1) = 49 16 + 8n + (-2 + -1n) = 49 Reorder the terms: 16 + -2 + 8n + -1n = 49 Combine like terms: 16 + -2 = 14 14 + 8n + -1n = 49 Combine like terms: 8n + -1n = 7n 14 + 7n = 49 Solving 14 + 7n = 49 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7n = 49 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = 49 + -14 7n = 49 + -14 Combine like terms: 49 + -14 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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