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Simplifying 3n + 10 = -5n + 2 Reorder the terms: 10 + 3n = -5n + 2 Reorder the terms: 10 + 3n = 2 + -5n Solving 10 + 3n = 2 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 10 + 3n + 5n = 2 + -5n + 5n Combine like terms: 3n + 5n = 8n 10 + 8n = 2 + -5n + 5n Combine like terms: -5n + 5n = 0 10 + 8n = 2 + 0 10 + 8n = 2 Add '-10' to each side of the equation. 10 + -10 + 8n = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 8n = 2 + -10 8n = 2 + -10 Combine like terms: 2 + -10 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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