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