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Simplifying (2n + 6) = (3n + -5) Reorder the terms: (6 + 2n) = (3n + -5) Remove parenthesis around (6 + 2n) 6 + 2n = (3n + -5) Reorder the terms: 6 + 2n = (-5 + 3n) Remove parenthesis around (-5 + 3n) 6 + 2n = -5 + 3n Solving 6 + 2n = -5 + 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 + 2n + -3n = -5 + 3n + -3n Combine like terms: 2n + -3n = -1n 6 + -1n = -5 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + -1n = -5 + 0 6 + -1n = -5 Add '-6' to each side of the equation. 6 + -6 + -1n = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = -5 + -6 -1n = -5 + -6 Combine like terms: -5 + -6 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11
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