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Simplifying 12 + -1n = 8n + -6 Reorder the terms: 12 + -1n = -6 + 8n Solving 12 + -1n = -6 + 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 + -1n + -8n = -6 + 8n + -8n Combine like terms: -1n + -8n = -9n 12 + -9n = -6 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + -9n = -6 + 0 12 + -9n = -6 Add '-12' to each side of the equation. 12 + -12 + -9n = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9n = -6 + -12 -9n = -6 + -12 Combine like terms: -6 + -12 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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