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Simplifying 4(3n + 3) = 6(9n + 7) + 7 Reorder the terms: 4(3 + 3n) = 6(9n + 7) + 7 (3 * 4 + 3n * 4) = 6(9n + 7) + 7 (12 + 12n) = 6(9n + 7) + 7 Reorder the terms: 12 + 12n = 6(7 + 9n) + 7 12 + 12n = (7 * 6 + 9n * 6) + 7 12 + 12n = (42 + 54n) + 7 Reorder the terms: 12 + 12n = 42 + 7 + 54n Combine like terms: 42 + 7 = 49 12 + 12n = 49 + 54n Solving 12 + 12n = 49 + 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 + 12n + -54n = 49 + 54n + -54n Combine like terms: 12n + -54n = -42n 12 + -42n = 49 + 54n + -54n Combine like terms: 54n + -54n = 0 12 + -42n = 49 + 0 12 + -42n = 49 Add '-12' to each side of the equation. 12 + -12 + -42n = 49 + -12 Combine like terms: 12 + -12 = 0 0 + -42n = 49 + -12 -42n = 49 + -12 Combine like terms: 49 + -12 = 37 -42n = 37 Divide each side by '-42'. n = -0.880952381 Simplifying n = -0.880952381
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