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Simplifying 5n + -6 = -3n + 10 Reorder the terms: -6 + 5n = -3n + 10 Reorder the terms: -6 + 5n = 10 + -3n Solving -6 + 5n = 10 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. -6 + 5n + 3n = 10 + -3n + 3n Combine like terms: 5n + 3n = 8n -6 + 8n = 10 + -3n + 3n Combine like terms: -3n + 3n = 0 -6 + 8n = 10 + 0 -6 + 8n = 10 Add '6' to each side of the equation. -6 + 6 + 8n = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8n = 10 + 6 8n = 10 + 6 Combine like terms: 10 + 6 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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