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Simplifying 89 = 8(n + 3) + 1 Reorder the terms: 89 = 8(3 + n) + 1 89 = (3 * 8 + n * 8) + 1 89 = (24 + 8n) + 1 Reorder the terms: 89 = 24 + 1 + 8n Combine like terms: 24 + 1 = 25 89 = 25 + 8n Solving 89 = 25 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 89 + -8n = 25 + 8n + -8n Combine like terms: 8n + -8n = 0 89 + -8n = 25 + 0 89 + -8n = 25 Add '-89' to each side of the equation. 89 + -89 + -8n = 25 + -89 Combine like terms: 89 + -89 = 0 0 + -8n = 25 + -89 -8n = 25 + -89 Combine like terms: 25 + -89 = -64 -8n = -64 Divide each side by '-8'. n = 8 Simplifying n = 8
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