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Simplifying 9(2n + 2) = 6(8n + 4) + 5 Reorder the terms: 9(2 + 2n) = 6(8n + 4) + 5 (2 * 9 + 2n * 9) = 6(8n + 4) + 5 (18 + 18n) = 6(8n + 4) + 5 Reorder the terms: 18 + 18n = 6(4 + 8n) + 5 18 + 18n = (4 * 6 + 8n * 6) + 5 18 + 18n = (24 + 48n) + 5 Reorder the terms: 18 + 18n = 24 + 5 + 48n Combine like terms: 24 + 5 = 29 18 + 18n = 29 + 48n Solving 18 + 18n = 29 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 18 + 18n + -48n = 29 + 48n + -48n Combine like terms: 18n + -48n = -30n 18 + -30n = 29 + 48n + -48n Combine like terms: 48n + -48n = 0 18 + -30n = 29 + 0 18 + -30n = 29 Add '-18' to each side of the equation. 18 + -18 + -30n = 29 + -18 Combine like terms: 18 + -18 = 0 0 + -30n = 29 + -18 -30n = 29 + -18 Combine like terms: 29 + -18 = 11 -30n = 11 Divide each side by '-30'. n = -0.3666666667 Simplifying n = -0.3666666667
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