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Simplifying 7(2n + 5) = 9(8n + 8) + 7 Reorder the terms: 7(5 + 2n) = 9(8n + 8) + 7 (5 * 7 + 2n * 7) = 9(8n + 8) + 7 (35 + 14n) = 9(8n + 8) + 7 Reorder the terms: 35 + 14n = 9(8 + 8n) + 7 35 + 14n = (8 * 9 + 8n * 9) + 7 35 + 14n = (72 + 72n) + 7 Reorder the terms: 35 + 14n = 72 + 7 + 72n Combine like terms: 72 + 7 = 79 35 + 14n = 79 + 72n Solving 35 + 14n = 79 + 72n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-72n' to each side of the equation. 35 + 14n + -72n = 79 + 72n + -72n Combine like terms: 14n + -72n = -58n 35 + -58n = 79 + 72n + -72n Combine like terms: 72n + -72n = 0 35 + -58n = 79 + 0 35 + -58n = 79 Add '-35' to each side of the equation. 35 + -35 + -58n = 79 + -35 Combine like terms: 35 + -35 = 0 0 + -58n = 79 + -35 -58n = 79 + -35 Combine like terms: 79 + -35 = 44 -58n = 44 Divide each side by '-58'. n = -0.7586206897 Simplifying n = -0.7586206897
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