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Simplifying (3n + -6) + -1(6 + -2n) = (4n + -12) Reorder the terms: (-6 + 3n) + -1(6 + -2n) = (4n + -12) Remove parenthesis around (-6 + 3n) -6 + 3n + -1(6 + -2n) = (4n + -12) -6 + 3n + (6 * -1 + -2n * -1) = (4n + -12) -6 + 3n + (-6 + 2n) = (4n + -12) Reorder the terms: -6 + -6 + 3n + 2n = (4n + -12) Combine like terms: -6 + -6 = -12 -12 + 3n + 2n = (4n + -12) Combine like terms: 3n + 2n = 5n -12 + 5n = (4n + -12) Reorder the terms: -12 + 5n = (-12 + 4n) Remove parenthesis around (-12 + 4n) -12 + 5n = -12 + 4n Add '12' to each side of the equation. -12 + 12 + 5n = -12 + 12 + 4n Combine like terms: -12 + 12 = 0 0 + 5n = -12 + 12 + 4n 5n = -12 + 12 + 4n Combine like terms: -12 + 12 = 0 5n = 0 + 4n 5n = 4n Solving 5n = 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. 5n + -4n = 4n + -4n Combine like terms: 5n + -4n = 1n 1n = 4n + -4n Combine like terms: 4n + -4n = 0 1n = 0 Divide each side by '1'. n = 0 Simplifying n = 0
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