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Simplifying 2n + 6 = 16 + -3n Reorder the terms: 6 + 2n = 16 + -3n Solving 6 + 2n = 16 + -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 = 16 + -3n + 3n Combine like terms: 2n + 3n = 5n 6 + 5n = 16 + -3n + 3n Combine like terms: -3n + 3n = 0 6 + 5n = 16 + 0 6 + 5n = 16 Add '-6' to each side of the equation. 6 + -6 + 5n = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 5n = 16 + -6 5n = 16 + -6 Combine like terms: 16 + -6 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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