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Simplifying 45 = 5(n + 1) Reorder the terms: 45 = 5(1 + n) 45 = (1 * 5 + n * 5) 45 = (5 + 5n) Solving 45 = 5 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 45 + -5n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 45 + -5n = 5 + 0 45 + -5n = 5 Add '-45' to each side of the equation. 45 + -45 + -5n = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -5n = 5 + -45 -5n = 5 + -45 Combine like terms: 5 + -45 = -40 -5n = -40 Divide each side by '-5'. n = 8 Simplifying n = 8
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