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Simplifying (3n + -6) + (n + -6) = 3n Reorder the terms: (-6 + 3n) + (n + -6) = 3n Remove parenthesis around (-6 + 3n) -6 + 3n + (n + -6) = 3n Reorder the terms: -6 + 3n + (-6 + n) = 3n Remove parenthesis around (-6 + n) -6 + 3n + -6 + n = 3n Reorder the terms: -6 + -6 + 3n + n = 3n Combine like terms: -6 + -6 = -12 -12 + 3n + n = 3n Combine like terms: 3n + n = 4n -12 + 4n = 3n Solving -12 + 4n = 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. -12 + 4n + -3n = 3n + -3n Combine like terms: 4n + -3n = 1n -12 + 1n = 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 1n = 0 Add '12' to each side of the equation. -12 + 12 + 1n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = 0 + 12 1n = 0 + 12 Combine like terms: 0 + 12 = 12 1n = 12 Divide each side by '1'. n = 12 Simplifying n = 12
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