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Simplifying 9(2n + 1) = 9(7n + 4) + 5 Reorder the terms: 9(1 + 2n) = 9(7n + 4) + 5 (1 * 9 + 2n * 9) = 9(7n + 4) + 5 (9 + 18n) = 9(7n + 4) + 5 Reorder the terms: 9 + 18n = 9(4 + 7n) + 5 9 + 18n = (4 * 9 + 7n * 9) + 5 9 + 18n = (36 + 63n) + 5 Reorder the terms: 9 + 18n = 36 + 5 + 63n Combine like terms: 36 + 5 = 41 9 + 18n = 41 + 63n Solving 9 + 18n = 41 + 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 = 41 + 63n + -63n Combine like terms: 18n + -63n = -45n 9 + -45n = 41 + 63n + -63n Combine like terms: 63n + -63n = 0 9 + -45n = 41 + 0 9 + -45n = 41 Add '-9' to each side of the equation. 9 + -9 + -45n = 41 + -9 Combine like terms: 9 + -9 = 0 0 + -45n = 41 + -9 -45n = 41 + -9 Combine like terms: 41 + -9 = 32 -45n = 32 Divide each side by '-45'. n = -0.7111111111 Simplifying n = -0.7111111111
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