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Simplifying 8 + 11n + -7 = 9n + 21 + -2n Reorder the terms: 8 + -7 + 11n = 9n + 21 + -2n Combine like terms: 8 + -7 = 1 1 + 11n = 9n + 21 + -2n Reorder the terms: 1 + 11n = 21 + 9n + -2n Combine like terms: 9n + -2n = 7n 1 + 11n = 21 + 7n Solving 1 + 11n = 21 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 1 + 11n + -7n = 21 + 7n + -7n Combine like terms: 11n + -7n = 4n 1 + 4n = 21 + 7n + -7n Combine like terms: 7n + -7n = 0 1 + 4n = 21 + 0 1 + 4n = 21 Add '-1' to each side of the equation. 1 + -1 + 4n = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 4n = 21 + -1 4n = 21 + -1 Combine like terms: 21 + -1 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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