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Simplifying 9(8n + 4) = 17 + -7n Reorder the terms: 9(4 + 8n) = 17 + -7n (4 * 9 + 8n * 9) = 17 + -7n (36 + 72n) = 17 + -7n Solving 36 + 72n = 17 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 36 + 72n + 7n = 17 + -7n + 7n Combine like terms: 72n + 7n = 79n 36 + 79n = 17 + -7n + 7n Combine like terms: -7n + 7n = 0 36 + 79n = 17 + 0 36 + 79n = 17 Add '-36' to each side of the equation. 36 + -36 + 79n = 17 + -36 Combine like terms: 36 + -36 = 0 0 + 79n = 17 + -36 79n = 17 + -36 Combine like terms: 17 + -36 = -19 79n = -19 Divide each side by '79'. n = -0.2405063291 Simplifying n = -0.2405063291
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