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Simplifying -1n + 8n + 12 = 2n + 8n Reorder the terms: 12 + -1n + 8n = 2n + 8n Combine like terms: -1n + 8n = 7n 12 + 7n = 2n + 8n Combine like terms: 2n + 8n = 10n 12 + 7n = 10n Solving 12 + 7n = 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 12 + 7n + -10n = 10n + -10n Combine like terms: 7n + -10n = -3n 12 + -3n = 10n + -10n Combine like terms: 10n + -10n = 0 12 + -3n = 0 Add '-12' to each side of the equation. 12 + -12 + -3n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = 0 + -12 -3n = 0 + -12 Combine like terms: 0 + -12 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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