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Simplifying n + -4 + 6n = 3 + 8n Reorder the terms: -4 + n + 6n = 3 + 8n Combine like terms: n + 6n = 7n -4 + 7n = 3 + 8n Solving -4 + 7n = 3 + 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. -4 + 7n + -8n = 3 + 8n + -8n Combine like terms: 7n + -8n = -1n -4 + -1n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 -4 + -1n = 3 + 0 -4 + -1n = 3 Add '4' to each side of the equation. -4 + 4 + -1n = 3 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = 3 + 4 -1n = 3 + 4 Combine like terms: 3 + 4 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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