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Simplifying 6 + 3n + -3 = 8n + 12 + -4n Reorder the terms: 6 + -3 + 3n = 8n + 12 + -4n Combine like terms: 6 + -3 = 3 3 + 3n = 8n + 12 + -4n Reorder the terms: 3 + 3n = 12 + 8n + -4n Combine like terms: 8n + -4n = 4n 3 + 3n = 12 + 4n Solving 3 + 3n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 3n + -4n = 12 + 4n + -4n Combine like terms: 3n + -4n = -1n 3 + -1n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -1n = 12 + 0 3 + -1n = 12 Add '-3' to each side of the equation. 3 + -3 + -1n = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 12 + -3 -1n = 12 + -3 Combine like terms: 12 + -3 = 9 -1n = 9 Divide each side by '-1'. n = -9 Simplifying n = -9
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