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Simplifying 8n + 5 = 5(1 + 5n) + -7n Reorder the terms: 5 + 8n = 5(1 + 5n) + -7n 5 + 8n = (1 * 5 + 5n * 5) + -7n 5 + 8n = (5 + 25n) + -7n Combine like terms: 25n + -7n = 18n 5 + 8n = 5 + 18n Add '-5' to each side of the equation. 5 + -5 + 8n = 5 + -5 + 18n Combine like terms: 5 + -5 = 0 0 + 8n = 5 + -5 + 18n 8n = 5 + -5 + 18n Combine like terms: 5 + -5 = 0 8n = 0 + 18n 8n = 18n Solving 8n = 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. 8n + -18n = 18n + -18n Combine like terms: 8n + -18n = -10n -10n = 18n + -18n Combine like terms: 18n + -18n = 0 -10n = 0 Divide each side by '-10'. n = 0.0 Simplifying n = 0.0
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