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Simplifying -8n + -4 = -2 + 6 + -7n Reorder the terms: -4 + -8n = -2 + 6 + -7n Combine like terms: -2 + 6 = 4 -4 + -8n = 4 + -7n Solving -4 + -8n = 4 + -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. -4 + -8n + 7n = 4 + -7n + 7n Combine like terms: -8n + 7n = -1n -4 + -1n = 4 + -7n + 7n Combine like terms: -7n + 7n = 0 -4 + -1n = 4 + 0 -4 + -1n = 4 Add '4' to each side of the equation. -4 + 4 + -1n = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 4 + 4 -1n = 4 + 4 Combine like terms: 4 + 4 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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