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Simplifying 5n + 10 = 8n + 6 Reorder the terms: 10 + 5n = 8n + 6 Reorder the terms: 10 + 5n = 6 + 8n Solving 10 + 5n = 6 + 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 + 5n + -8n = 6 + 8n + -8n Combine like terms: 5n + -8n = -3n 10 + -3n = 6 + 8n + -8n Combine like terms: 8n + -8n = 0 10 + -3n = 6 + 0 10 + -3n = 6 Add '-10' to each side of the equation. 10 + -10 + -3n = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -3n = 6 + -10 -3n = 6 + -10 Combine like terms: 6 + -10 = -4 -3n = -4 Divide each side by '-3'. n = 1.333333333 Simplifying n = 1.333333333
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