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Simplifying 9(n + 3) = 3(n + 3n) Reorder the terms: 9(3 + n) = 3(n + 3n) (3 * 9 + n * 9) = 3(n + 3n) (27 + 9n) = 3(n + 3n) Combine like terms: n + 3n = 4n 27 + 9n = 3(4n) Remove parenthesis around (4n) 27 + 9n = 3 * 4n Multiply 3 * 4 27 + 9n = 12n Solving 27 + 9n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 27 + 9n + -12n = 12n + -12n Combine like terms: 9n + -12n = -3n 27 + -3n = 12n + -12n Combine like terms: 12n + -12n = 0 27 + -3n = 0 Add '-27' to each side of the equation. 27 + -27 + -3n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -3n = 0 + -27 -3n = 0 + -27 Combine like terms: 0 + -27 = -27 -3n = -27 Divide each side by '-3'. n = 9 Simplifying n = 9
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