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Simplifying 11n + 23 = 6n + -47 Reorder the terms: 23 + 11n = 6n + -47 Reorder the terms: 23 + 11n = -47 + 6n Solving 23 + 11n = -47 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 23 + 11n + -6n = -47 + 6n + -6n Combine like terms: 11n + -6n = 5n 23 + 5n = -47 + 6n + -6n Combine like terms: 6n + -6n = 0 23 + 5n = -47 + 0 23 + 5n = -47 Add '-23' to each side of the equation. 23 + -23 + 5n = -47 + -23 Combine like terms: 23 + -23 = 0 0 + 5n = -47 + -23 5n = -47 + -23 Combine like terms: -47 + -23 = -70 5n = -70 Divide each side by '5'. n = -14 Simplifying n = -14
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