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