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Simplifying 5(3n + 1) = 8(8n + 9) + 7 Reorder the terms: 5(1 + 3n) = 8(8n + 9) + 7 (1 * 5 + 3n * 5) = 8(8n + 9) + 7 (5 + 15n) = 8(8n + 9) + 7 Reorder the terms: 5 + 15n = 8(9 + 8n) + 7 5 + 15n = (9 * 8 + 8n * 8) + 7 5 + 15n = (72 + 64n) + 7 Reorder the terms: 5 + 15n = 72 + 7 + 64n Combine like terms: 72 + 7 = 79 5 + 15n = 79 + 64n Solving 5 + 15n = 79 + 64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-64n' to each side of the equation. 5 + 15n + -64n = 79 + 64n + -64n Combine like terms: 15n + -64n = -49n 5 + -49n = 79 + 64n + -64n Combine like terms: 64n + -64n = 0 5 + -49n = 79 + 0 5 + -49n = 79 Add '-5' to each side of the equation. 5 + -5 + -49n = 79 + -5 Combine like terms: 5 + -5 = 0 0 + -49n = 79 + -5 -49n = 79 + -5 Combine like terms: 79 + -5 = 74 -49n = 74 Divide each side by '-49'. n = -1.510204082 Simplifying n = -1.510204082
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