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Simplifying 3(2n + 5) = 7(6n + 4) + 9 Reorder the terms: 3(5 + 2n) = 7(6n + 4) + 9 (5 * 3 + 2n * 3) = 7(6n + 4) + 9 (15 + 6n) = 7(6n + 4) + 9 Reorder the terms: 15 + 6n = 7(4 + 6n) + 9 15 + 6n = (4 * 7 + 6n * 7) + 9 15 + 6n = (28 + 42n) + 9 Reorder the terms: 15 + 6n = 28 + 9 + 42n Combine like terms: 28 + 9 = 37 15 + 6n = 37 + 42n Solving 15 + 6n = 37 + 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. 15 + 6n + -42n = 37 + 42n + -42n Combine like terms: 6n + -42n = -36n 15 + -36n = 37 + 42n + -42n Combine like terms: 42n + -42n = 0 15 + -36n = 37 + 0 15 + -36n = 37 Add '-15' to each side of the equation. 15 + -15 + -36n = 37 + -15 Combine like terms: 15 + -15 = 0 0 + -36n = 37 + -15 -36n = 37 + -15 Combine like terms: 37 + -15 = 22 -36n = 22 Divide each side by '-36'. n = -0.6111111111 Simplifying n = -0.6111111111
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