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Simplifying -4 + 3n + 6n + 3 = 8n + 6 Reorder the terms: -4 + 3 + 3n + 6n = 8n + 6 Combine like terms: -4 + 3 = -1 -1 + 3n + 6n = 8n + 6 Combine like terms: 3n + 6n = 9n -1 + 9n = 8n + 6 Reorder the terms: -1 + 9n = 6 + 8n Solving -1 + 9n = 6 + 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. -1 + 9n + -8n = 6 + 8n + -8n Combine like terms: 9n + -8n = 1n -1 + 1n = 6 + 8n + -8n Combine like terms: 8n + -8n = 0 -1 + 1n = 6 + 0 -1 + 1n = 6 Add '1' to each side of the equation. -1 + 1 + 1n = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 1n = 6 + 1 1n = 6 + 1 Combine like terms: 6 + 1 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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