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Simplifying -8n + -84 = -2 + n + -6 + -8n Reorder the terms: -84 + -8n = -2 + n + -6 + -8n Reorder the terms: -84 + -8n = -2 + -6 + n + -8n Combine like terms: -2 + -6 = -8 -84 + -8n = -8 + n + -8n Combine like terms: n + -8n = -7n -84 + -8n = -8 + -7n Solving -84 + -8n = -8 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -84 + -8n + 7n = -8 + -7n + 7n Combine like terms: -8n + 7n = -1n -84 + -1n = -8 + -7n + 7n Combine like terms: -7n + 7n = 0 -84 + -1n = -8 + 0 -84 + -1n = -8 Add '84' to each side of the equation. -84 + 84 + -1n = -8 + 84 Combine like terms: -84 + 84 = 0 0 + -1n = -8 + 84 -1n = -8 + 84 Combine like terms: -8 + 84 = 76 -1n = 76 Divide each side by '-1'. n = -76 Simplifying n = -76
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