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Simplifying 9(2n + 2) = 8(8n + 1) + 4 Reorder the terms: 9(2 + 2n) = 8(8n + 1) + 4 (2 * 9 + 2n * 9) = 8(8n + 1) + 4 (18 + 18n) = 8(8n + 1) + 4 Reorder the terms: 18 + 18n = 8(1 + 8n) + 4 18 + 18n = (1 * 8 + 8n * 8) + 4 18 + 18n = (8 + 64n) + 4 Reorder the terms: 18 + 18n = 8 + 4 + 64n Combine like terms: 8 + 4 = 12 18 + 18n = 12 + 64n Solving 18 + 18n = 12 + 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 = 12 + 64n + -64n Combine like terms: 18n + -64n = -46n 18 + -46n = 12 + 64n + -64n Combine like terms: 64n + -64n = 0 18 + -46n = 12 + 0 18 + -46n = 12 Add '-18' to each side of the equation. 18 + -18 + -46n = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -46n = 12 + -18 -46n = 12 + -18 Combine like terms: 12 + -18 = -6 -46n = -6 Divide each side by '-46'. n = 0.1304347826 Simplifying n = 0.1304347826
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