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