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Simplifying 2n + 6 = 8n + -24 Reorder the terms: 6 + 2n = 8n + -24 Reorder the terms: 6 + 2n = -24 + 8n Solving 6 + 2n = -24 + 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. 6 + 2n + -8n = -24 + 8n + -8n Combine like terms: 2n + -8n = -6n 6 + -6n = -24 + 8n + -8n Combine like terms: 8n + -8n = 0 6 + -6n = -24 + 0 6 + -6n = -24 Add '-6' to each side of the equation. 6 + -6 + -6n = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -6n = -24 + -6 -6n = -24 + -6 Combine like terms: -24 + -6 = -30 -6n = -30 Divide each side by '-6'. n = 5 Simplifying n = 5
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