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Simplifying 12n + -10 = 4n + 6 Reorder the terms: -10 + 12n = 4n + 6 Reorder the terms: -10 + 12n = 6 + 4n Solving -10 + 12n = 6 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -10 + 12n + -4n = 6 + 4n + -4n Combine like terms: 12n + -4n = 8n -10 + 8n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 -10 + 8n = 6 + 0 -10 + 8n = 6 Add '10' to each side of the equation. -10 + 10 + 8n = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 8n = 6 + 10 8n = 6 + 10 Combine like terms: 6 + 10 = 16 8n = 16 Divide each side by '8'. n = 2 Simplifying n = 2
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