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Simplifying 9(2n + 2) = 8(8n + 8) + 3 Reorder the terms: 9(2 + 2n) = 8(8n + 8) + 3 (2 * 9 + 2n * 9) = 8(8n + 8) + 3 (18 + 18n) = 8(8n + 8) + 3 Reorder the terms: 18 + 18n = 8(8 + 8n) + 3 18 + 18n = (8 * 8 + 8n * 8) + 3 18 + 18n = (64 + 64n) + 3 Reorder the terms: 18 + 18n = 64 + 3 + 64n Combine like terms: 64 + 3 = 67 18 + 18n = 67 + 64n Solving 18 + 18n = 67 + 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. 18 + 18n + -64n = 67 + 64n + -64n Combine like terms: 18n + -64n = -46n 18 + -46n = 67 + 64n + -64n Combine like terms: 64n + -64n = 0 18 + -46n = 67 + 0 18 + -46n = 67 Add '-18' to each side of the equation. 18 + -18 + -46n = 67 + -18 Combine like terms: 18 + -18 = 0 0 + -46n = 67 + -18 -46n = 67 + -18 Combine like terms: 67 + -18 = 49 -46n = 49 Divide each side by '-46'. n = -1.065217391 Simplifying n = -1.065217391
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