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Simplifying 9n + -10 + -2n + 16 = 5n + 11 + -3n Reorder the terms: -10 + 16 + 9n + -2n = 5n + 11 + -3n Combine like terms: -10 + 16 = 6 6 + 9n + -2n = 5n + 11 + -3n Combine like terms: 9n + -2n = 7n 6 + 7n = 5n + 11 + -3n Reorder the terms: 6 + 7n = 11 + 5n + -3n Combine like terms: 5n + -3n = 2n 6 + 7n = 11 + 2n Solving 6 + 7n = 11 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 6 + 7n + -2n = 11 + 2n + -2n Combine like terms: 7n + -2n = 5n 6 + 5n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 6 + 5n = 11 + 0 6 + 5n = 11 Add '-6' to each side of the equation. 6 + -6 + 5n = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 5n = 11 + -6 5n = 11 + -6 Combine like terms: 11 + -6 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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