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Simplifying 9(3n + 5) = 6(7n + 3) + 7 Reorder the terms: 9(5 + 3n) = 6(7n + 3) + 7 (5 * 9 + 3n * 9) = 6(7n + 3) + 7 (45 + 27n) = 6(7n + 3) + 7 Reorder the terms: 45 + 27n = 6(3 + 7n) + 7 45 + 27n = (3 * 6 + 7n * 6) + 7 45 + 27n = (18 + 42n) + 7 Reorder the terms: 45 + 27n = 18 + 7 + 42n Combine like terms: 18 + 7 = 25 45 + 27n = 25 + 42n Solving 45 + 27n = 25 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 45 + 27n + -42n = 25 + 42n + -42n Combine like terms: 27n + -42n = -15n 45 + -15n = 25 + 42n + -42n Combine like terms: 42n + -42n = 0 45 + -15n = 25 + 0 45 + -15n = 25 Add '-45' to each side of the equation. 45 + -45 + -15n = 25 + -45 Combine like terms: 45 + -45 = 0 0 + -15n = 25 + -45 -15n = 25 + -45 Combine like terms: 25 + -45 = -20 -15n = -20 Divide each side by '-15'. n = 1.333333333 Simplifying n = 1.333333333
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