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Simplifying 6(n + 1) + 3 = 45 Reorder the terms: 6(1 + n) + 3 = 45 (1 * 6 + n * 6) + 3 = 45 (6 + 6n) + 3 = 45 Reorder the terms: 6 + 3 + 6n = 45 Combine like terms: 6 + 3 = 9 9 + 6n = 45 Solving 9 + 6n = 45 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6n = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 6n = 45 + -9 6n = 45 + -9 Combine like terms: 45 + -9 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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