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Simplifying 9(3n + 5) = 6(7n + 5) + 2 Reorder the terms: 9(5 + 3n) = 6(7n + 5) + 2 (5 * 9 + 3n * 9) = 6(7n + 5) + 2 (45 + 27n) = 6(7n + 5) + 2 Reorder the terms: 45 + 27n = 6(5 + 7n) + 2 45 + 27n = (5 * 6 + 7n * 6) + 2 45 + 27n = (30 + 42n) + 2 Reorder the terms: 45 + 27n = 30 + 2 + 42n Combine like terms: 30 + 2 = 32 45 + 27n = 32 + 42n Solving 45 + 27n = 32 + 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 = 32 + 42n + -42n Combine like terms: 27n + -42n = -15n 45 + -15n = 32 + 42n + -42n Combine like terms: 42n + -42n = 0 45 + -15n = 32 + 0 45 + -15n = 32 Add '-45' to each side of the equation. 45 + -45 + -15n = 32 + -45 Combine like terms: 45 + -45 = 0 0 + -15n = 32 + -45 -15n = 32 + -45 Combine like terms: 32 + -45 = -13 -15n = -13 Divide each side by '-15'. n = 0.8666666667 Simplifying n = 0.8666666667
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