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Simplifying 9(2n + 5) = 8(8n + 9) + 4 Reorder the terms: 9(5 + 2n) = 8(8n + 9) + 4 (5 * 9 + 2n * 9) = 8(8n + 9) + 4 (45 + 18n) = 8(8n + 9) + 4 Reorder the terms: 45 + 18n = 8(9 + 8n) + 4 45 + 18n = (9 * 8 + 8n * 8) + 4 45 + 18n = (72 + 64n) + 4 Reorder the terms: 45 + 18n = 72 + 4 + 64n Combine like terms: 72 + 4 = 76 45 + 18n = 76 + 64n Solving 45 + 18n = 76 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 45 + 18n + -64n = 76 + 64n + -64n Combine like terms: 18n + -64n = -46n 45 + -46n = 76 + 64n + -64n Combine like terms: 64n + -64n = 0 45 + -46n = 76 + 0 45 + -46n = 76 Add '-45' to each side of the equation. 45 + -45 + -46n = 76 + -45 Combine like terms: 45 + -45 = 0 0 + -46n = 76 + -45 -46n = 76 + -45 Combine like terms: 76 + -45 = 31 -46n = 31 Divide each side by '-46'. n = -0.6739130435 Simplifying n = -0.6739130435
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