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Simplifying 5n + 8 = 8n + -10 Reorder the terms: 8 + 5n = 8n + -10 Reorder the terms: 8 + 5n = -10 + 8n Solving 8 + 5n = -10 + 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. 8 + 5n + -8n = -10 + 8n + -8n Combine like terms: 5n + -8n = -3n 8 + -3n = -10 + 8n + -8n Combine like terms: 8n + -8n = 0 8 + -3n = -10 + 0 8 + -3n = -10 Add '-8' to each side of the equation. 8 + -8 + -3n = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -3n = -10 + -8 -3n = -10 + -8 Combine like terms: -10 + -8 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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