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Simplifying 6(3n + 3) = 6(8n + 7) + 9 Reorder the terms: 6(3 + 3n) = 6(8n + 7) + 9 (3 * 6 + 3n * 6) = 6(8n + 7) + 9 (18 + 18n) = 6(8n + 7) + 9 Reorder the terms: 18 + 18n = 6(7 + 8n) + 9 18 + 18n = (7 * 6 + 8n * 6) + 9 18 + 18n = (42 + 48n) + 9 Reorder the terms: 18 + 18n = 42 + 9 + 48n Combine like terms: 42 + 9 = 51 18 + 18n = 51 + 48n Solving 18 + 18n = 51 + 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 = 51 + 48n + -48n Combine like terms: 18n + -48n = -30n 18 + -30n = 51 + 48n + -48n Combine like terms: 48n + -48n = 0 18 + -30n = 51 + 0 18 + -30n = 51 Add '-18' to each side of the equation. 18 + -18 + -30n = 51 + -18 Combine like terms: 18 + -18 = 0 0 + -30n = 51 + -18 -30n = 51 + -18 Combine like terms: 51 + -18 = 33 -30n = 33 Divide each side by '-30'. n = -1.1 Simplifying n = -1.1
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