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Simplifying 3(3n + 4) = 6(9n + 4) + 6 Reorder the terms: 3(4 + 3n) = 6(9n + 4) + 6 (4 * 3 + 3n * 3) = 6(9n + 4) + 6 (12 + 9n) = 6(9n + 4) + 6 Reorder the terms: 12 + 9n = 6(4 + 9n) + 6 12 + 9n = (4 * 6 + 9n * 6) + 6 12 + 9n = (24 + 54n) + 6 Reorder the terms: 12 + 9n = 24 + 6 + 54n Combine like terms: 24 + 6 = 30 12 + 9n = 30 + 54n Solving 12 + 9n = 30 + 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. 12 + 9n + -54n = 30 + 54n + -54n Combine like terms: 9n + -54n = -45n 12 + -45n = 30 + 54n + -54n Combine like terms: 54n + -54n = 0 12 + -45n = 30 + 0 12 + -45n = 30 Add '-12' to each side of the equation. 12 + -12 + -45n = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -45n = 30 + -12 -45n = 30 + -12 Combine like terms: 30 + -12 = 18 -45n = 18 Divide each side by '-45'. n = -0.4 Simplifying n = -0.4
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