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Simplifying n + 4(2n + 3) = 102 Reorder the terms: n + 4(3 + 2n) = 102 n + (3 * 4 + 2n * 4) = 102 n + (12 + 8n) = 102 Reorder the terms: 12 + n + 8n = 102 Combine like terms: n + 8n = 9n 12 + 9n = 102 Solving 12 + 9n = 102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9n = 102 + -12 Combine like terms: 12 + -12 = 0 0 + 9n = 102 + -12 9n = 102 + -12 Combine like terms: 102 + -12 = 90 9n = 90 Divide each side by '9'. n = 10 Simplifying n = 10
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