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Simplifying 3(3n + 2) = 6(9n + 8) + 7 Reorder the terms: 3(2 + 3n) = 6(9n + 8) + 7 (2 * 3 + 3n * 3) = 6(9n + 8) + 7 (6 + 9n) = 6(9n + 8) + 7 Reorder the terms: 6 + 9n = 6(8 + 9n) + 7 6 + 9n = (8 * 6 + 9n * 6) + 7 6 + 9n = (48 + 54n) + 7 Reorder the terms: 6 + 9n = 48 + 7 + 54n Combine like terms: 48 + 7 = 55 6 + 9n = 55 + 54n Solving 6 + 9n = 55 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 6 + 9n + -54n = 55 + 54n + -54n Combine like terms: 9n + -54n = -45n 6 + -45n = 55 + 54n + -54n Combine like terms: 54n + -54n = 0 6 + -45n = 55 + 0 6 + -45n = 55 Add '-6' to each side of the equation. 6 + -6 + -45n = 55 + -6 Combine like terms: 6 + -6 = 0 0 + -45n = 55 + -6 -45n = 55 + -6 Combine like terms: 55 + -6 = 49 -45n = 49 Divide each side by '-45'. n = -1.088888889 Simplifying n = -1.088888889
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