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Simplifying n + 3(2n + 3) = 5 + 8n Reorder the terms: n + 3(3 + 2n) = 5 + 8n n + (3 * 3 + 2n * 3) = 5 + 8n n + (9 + 6n) = 5 + 8n Reorder the terms: 9 + n + 6n = 5 + 8n Combine like terms: n + 6n = 7n 9 + 7n = 5 + 8n Solving 9 + 7n = 5 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 9 + 7n + -8n = 5 + 8n + -8n Combine like terms: 7n + -8n = -1n 9 + -1n = 5 + 8n + -8n Combine like terms: 8n + -8n = 0 9 + -1n = 5 + 0 9 + -1n = 5 Add '-9' to each side of the equation. 9 + -9 + -1n = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = 5 + -9 -1n = 5 + -9 Combine like terms: 5 + -9 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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