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Simplifying 4(8n + 3) + -5 = 3(6n + 8) + 1 Reorder the terms: 4(3 + 8n) + -5 = 3(6n + 8) + 1 (3 * 4 + 8n * 4) + -5 = 3(6n + 8) + 1 (12 + 32n) + -5 = 3(6n + 8) + 1 Reorder the terms: 12 + -5 + 32n = 3(6n + 8) + 1 Combine like terms: 12 + -5 = 7 7 + 32n = 3(6n + 8) + 1 Reorder the terms: 7 + 32n = 3(8 + 6n) + 1 7 + 32n = (8 * 3 + 6n * 3) + 1 7 + 32n = (24 + 18n) + 1 Reorder the terms: 7 + 32n = 24 + 1 + 18n Combine like terms: 24 + 1 = 25 7 + 32n = 25 + 18n Solving 7 + 32n = 25 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 7 + 32n + -18n = 25 + 18n + -18n Combine like terms: 32n + -18n = 14n 7 + 14n = 25 + 18n + -18n Combine like terms: 18n + -18n = 0 7 + 14n = 25 + 0 7 + 14n = 25 Add '-7' to each side of the equation. 7 + -7 + 14n = 25 + -7 Combine like terms: 7 + -7 = 0 0 + 14n = 25 + -7 14n = 25 + -7 Combine like terms: 25 + -7 = 18 14n = 18 Divide each side by '14'. n = 1.285714286 Simplifying n = 1.285714286
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