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Simplifying 7 + 4n + 12 = 11n + -24 Reorder the terms: 7 + 12 + 4n = 11n + -24 Combine like terms: 7 + 12 = 19 19 + 4n = 11n + -24 Reorder the terms: 19 + 4n = -24 + 11n Solving 19 + 4n = -24 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 19 + 4n + -11n = -24 + 11n + -11n Combine like terms: 4n + -11n = -7n 19 + -7n = -24 + 11n + -11n Combine like terms: 11n + -11n = 0 19 + -7n = -24 + 0 19 + -7n = -24 Add '-19' to each side of the equation. 19 + -19 + -7n = -24 + -19 Combine like terms: 19 + -19 = 0 0 + -7n = -24 + -19 -7n = -24 + -19 Combine like terms: -24 + -19 = -43 -7n = -43 Divide each side by '-7'. n = 6.142857143 Simplifying n = 6.142857143
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