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Simplifying 2(3n + 3) = 6(9n + 4) + 2 Reorder the terms: 2(3 + 3n) = 6(9n + 4) + 2 (3 * 2 + 3n * 2) = 6(9n + 4) + 2 (6 + 6n) = 6(9n + 4) + 2 Reorder the terms: 6 + 6n = 6(4 + 9n) + 2 6 + 6n = (4 * 6 + 9n * 6) + 2 6 + 6n = (24 + 54n) + 2 Reorder the terms: 6 + 6n = 24 + 2 + 54n Combine like terms: 24 + 2 = 26 6 + 6n = 26 + 54n Solving 6 + 6n = 26 + 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 + 6n + -54n = 26 + 54n + -54n Combine like terms: 6n + -54n = -48n 6 + -48n = 26 + 54n + -54n Combine like terms: 54n + -54n = 0 6 + -48n = 26 + 0 6 + -48n = 26 Add '-6' to each side of the equation. 6 + -6 + -48n = 26 + -6 Combine like terms: 6 + -6 = 0 0 + -48n = 26 + -6 -48n = 26 + -6 Combine like terms: 26 + -6 = 20 -48n = 20 Divide each side by '-48'. n = -0.4166666667 Simplifying n = -0.4166666667
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