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Simplifying 9(3n + 3) = 7(9n + 9) + 3 Reorder the terms: 9(3 + 3n) = 7(9n + 9) + 3 (3 * 9 + 3n * 9) = 7(9n + 9) + 3 (27 + 27n) = 7(9n + 9) + 3 Reorder the terms: 27 + 27n = 7(9 + 9n) + 3 27 + 27n = (9 * 7 + 9n * 7) + 3 27 + 27n = (63 + 63n) + 3 Reorder the terms: 27 + 27n = 63 + 3 + 63n Combine like terms: 63 + 3 = 66 27 + 27n = 66 + 63n Solving 27 + 27n = 66 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 27 + 27n + -63n = 66 + 63n + -63n Combine like terms: 27n + -63n = -36n 27 + -36n = 66 + 63n + -63n Combine like terms: 63n + -63n = 0 27 + -36n = 66 + 0 27 + -36n = 66 Add '-27' to each side of the equation. 27 + -27 + -36n = 66 + -27 Combine like terms: 27 + -27 = 0 0 + -36n = 66 + -27 -36n = 66 + -27 Combine like terms: 66 + -27 = 39 -36n = 39 Divide each side by '-36'. n = -1.083333333 Simplifying n = -1.083333333
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