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Simplifying 9(2n + 1) = 9(7n + 3) + 4 Reorder the terms: 9(1 + 2n) = 9(7n + 3) + 4 (1 * 9 + 2n * 9) = 9(7n + 3) + 4 (9 + 18n) = 9(7n + 3) + 4 Reorder the terms: 9 + 18n = 9(3 + 7n) + 4 9 + 18n = (3 * 9 + 7n * 9) + 4 9 + 18n = (27 + 63n) + 4 Reorder the terms: 9 + 18n = 27 + 4 + 63n Combine like terms: 27 + 4 = 31 9 + 18n = 31 + 63n Solving 9 + 18n = 31 + 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. 9 + 18n + -63n = 31 + 63n + -63n Combine like terms: 18n + -63n = -45n 9 + -45n = 31 + 63n + -63n Combine like terms: 63n + -63n = 0 9 + -45n = 31 + 0 9 + -45n = 31 Add '-9' to each side of the equation. 9 + -9 + -45n = 31 + -9 Combine like terms: 9 + -9 = 0 0 + -45n = 31 + -9 -45n = 31 + -9 Combine like terms: 31 + -9 = 22 -45n = 22 Divide each side by '-45'. n = -0.4888888889 Simplifying n = -0.4888888889
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