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Simplifying 5(n + 9) = n + 77 Reorder the terms: 5(9 + n) = n + 77 (9 * 5 + n * 5) = n + 77 (45 + 5n) = n + 77 Reorder the terms: 45 + 5n = 77 + n Solving 45 + 5n = 77 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 45 + 5n + -1n = 77 + n + -1n Combine like terms: 5n + -1n = 4n 45 + 4n = 77 + n + -1n Combine like terms: n + -1n = 0 45 + 4n = 77 + 0 45 + 4n = 77 Add '-45' to each side of the equation. 45 + -45 + 4n = 77 + -45 Combine like terms: 45 + -45 = 0 0 + 4n = 77 + -45 4n = 77 + -45 Combine like terms: 77 + -45 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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