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Simplifying 3(3n + 4) = 6(9n + 6) + 3 Reorder the terms: 3(4 + 3n) = 6(9n + 6) + 3 (4 * 3 + 3n * 3) = 6(9n + 6) + 3 (12 + 9n) = 6(9n + 6) + 3 Reorder the terms: 12 + 9n = 6(6 + 9n) + 3 12 + 9n = (6 * 6 + 9n * 6) + 3 12 + 9n = (36 + 54n) + 3 Reorder the terms: 12 + 9n = 36 + 3 + 54n Combine like terms: 36 + 3 = 39 12 + 9n = 39 + 54n Solving 12 + 9n = 39 + 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 = 39 + 54n + -54n Combine like terms: 9n + -54n = -45n 12 + -45n = 39 + 54n + -54n Combine like terms: 54n + -54n = 0 12 + -45n = 39 + 0 12 + -45n = 39 Add '-12' to each side of the equation. 12 + -12 + -45n = 39 + -12 Combine like terms: 12 + -12 = 0 0 + -45n = 39 + -12 -45n = 39 + -12 Combine like terms: 39 + -12 = 27 -45n = 27 Divide each side by '-45'. n = -0.6 Simplifying n = -0.6
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