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Simplifying 7n + -6 = 8n + -12 Reorder the terms: -6 + 7n = 8n + -12 Reorder the terms: -6 + 7n = -12 + 8n Solving -6 + 7n = -12 + 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 + 7n + -8n = -12 + 8n + -8n Combine like terms: 7n + -8n = -1n -6 + -1n = -12 + 8n + -8n Combine like terms: 8n + -8n = 0 -6 + -1n = -12 + 0 -6 + -1n = -12 Add '6' to each side of the equation. -6 + 6 + -1n = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = -12 + 6 -1n = -12 + 6 Combine like terms: -12 + 6 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6
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