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Simplifying 7(n + 1) + 3 = 45 Reorder the terms: 7(1 + n) + 3 = 45 (1 * 7 + n * 7) + 3 = 45 (7 + 7n) + 3 = 45 Reorder the terms: 7 + 3 + 7n = 45 Combine like terms: 7 + 3 = 10 10 + 7n = 45 Solving 10 + 7n = 45 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7n = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 7n = 45 + -10 7n = 45 + -10 Combine like terms: 45 + -10 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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