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Simplifying 8n + -12 + -3n + -6n = 1 Reorder the terms: -12 + 8n + -3n + -6n = 1 Combine like terms: 8n + -3n = 5n -12 + 5n + -6n = 1 Combine like terms: 5n + -6n = -1n -12 + -1n = 1 Solving -12 + -1n = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1n = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -1n = 1 + 12 -1n = 1 + 12 Combine like terms: 1 + 12 = 13 -1n = 13 Divide each side by '-1'. n = -13 Simplifying n = -13
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