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Simplifying 5n + -6 = 3n + 2 Reorder the terms: -6 + 5n = 3n + 2 Reorder the terms: -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 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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