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Simplifying 9 + 6n = 5(n + 9) Reorder the terms: 9 + 6n = 5(9 + n) 9 + 6n = (9 * 5 + n * 5) 9 + 6n = (45 + 5n) Solving 9 + 6n = 45 + 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. 9 + 6n + -5n = 45 + 5n + -5n Combine like terms: 6n + -5n = 1n 9 + 1n = 45 + 5n + -5n Combine like terms: 5n + -5n = 0 9 + 1n = 45 + 0 9 + 1n = 45 Add '-9' to each side of the equation. 9 + -9 + 1n = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 1n = 45 + -9 1n = 45 + -9 Combine like terms: 45 + -9 = 36 1n = 36 Divide each side by '1'. n = 36 Simplifying n = 36
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