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Simplifying 3(3n + 5) = 7(9n + 9) + 9 Reorder the terms: 3(5 + 3n) = 7(9n + 9) + 9 (5 * 3 + 3n * 3) = 7(9n + 9) + 9 (15 + 9n) = 7(9n + 9) + 9 Reorder the terms: 15 + 9n = 7(9 + 9n) + 9 15 + 9n = (9 * 7 + 9n * 7) + 9 15 + 9n = (63 + 63n) + 9 Reorder the terms: 15 + 9n = 63 + 9 + 63n Combine like terms: 63 + 9 = 72 15 + 9n = 72 + 63n Solving 15 + 9n = 72 + 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. 15 + 9n + -63n = 72 + 63n + -63n Combine like terms: 9n + -63n = -54n 15 + -54n = 72 + 63n + -63n Combine like terms: 63n + -63n = 0 15 + -54n = 72 + 0 15 + -54n = 72 Add '-15' to each side of the equation. 15 + -15 + -54n = 72 + -15 Combine like terms: 15 + -15 = 0 0 + -54n = 72 + -15 -54n = 72 + -15 Combine like terms: 72 + -15 = 57 -54n = 57 Divide each side by '-54'. n = -1.055555556 Simplifying n = -1.055555556
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