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Simplifying 2n + 12 = 8n + 96 Reorder the terms: 12 + 2n = 8n + 96 Reorder the terms: 12 + 2n = 96 + 8n Solving 12 + 2n = 96 + 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. 12 + 2n + -8n = 96 + 8n + -8n Combine like terms: 2n + -8n = -6n 12 + -6n = 96 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + -6n = 96 + 0 12 + -6n = 96 Add '-12' to each side of the equation. 12 + -12 + -6n = 96 + -12 Combine like terms: 12 + -12 = 0 0 + -6n = 96 + -12 -6n = 96 + -12 Combine like terms: 96 + -12 = 84 -6n = 84 Divide each side by '-6'. n = -14 Simplifying n = -14
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