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Simplifying 9n + 1 = 3(2n + 3) Reorder the terms: 1 + 9n = 3(2n + 3) Reorder the terms: 1 + 9n = 3(3 + 2n) 1 + 9n = (3 * 3 + 2n * 3) 1 + 9n = (9 + 6n) Solving 1 + 9n = 9 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 1 + 9n + -6n = 9 + 6n + -6n Combine like terms: 9n + -6n = 3n 1 + 3n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + 3n = 9 + 0 1 + 3n = 9 Add '-1' to each side of the equation. 1 + -1 + 3n = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = 9 + -1 3n = 9 + -1 Combine like terms: 9 + -1 = 8 3n = 8 Divide each side by '3'. n = 2.666666667 Simplifying n = 2.666666667
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