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Simplifying 3(3n + 1) = 7(9n + 4) + 7 Reorder the terms: 3(1 + 3n) = 7(9n + 4) + 7 (1 * 3 + 3n * 3) = 7(9n + 4) + 7 (3 + 9n) = 7(9n + 4) + 7 Reorder the terms: 3 + 9n = 7(4 + 9n) + 7 3 + 9n = (4 * 7 + 9n * 7) + 7 3 + 9n = (28 + 63n) + 7 Reorder the terms: 3 + 9n = 28 + 7 + 63n Combine like terms: 28 + 7 = 35 3 + 9n = 35 + 63n Solving 3 + 9n = 35 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 3 + 9n + -63n = 35 + 63n + -63n Combine like terms: 9n + -63n = -54n 3 + -54n = 35 + 63n + -63n Combine like terms: 63n + -63n = 0 3 + -54n = 35 + 0 3 + -54n = 35 Add '-3' to each side of the equation. 3 + -3 + -54n = 35 + -3 Combine like terms: 3 + -3 = 0 0 + -54n = 35 + -3 -54n = 35 + -3 Combine like terms: 35 + -3 = 32 -54n = 32 Divide each side by '-54'. n = -0.5925925926 Simplifying n = -0.5925925926
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