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Simplifying 8m + 2n + -6m + 9n = 2m + -11n Reorder the terms: 8m + -6m + 2n + 9n = 2m + -11n Combine like terms: 8m + -6m = 2m 2m + 2n + 9n = 2m + -11n Combine like terms: 2n + 9n = 11n 2m + 11n = 2m + -11n Add '-2m' to each side of the equation. 2m + -2m + 11n = 2m + -2m + -11n Combine like terms: 2m + -2m = 0 0 + 11n = 2m + -2m + -11n 11n = 2m + -2m + -11n Combine like terms: 2m + -2m = 0 11n = 0 + -11n 11n = -11n Solving 11n = -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. 11n + 11n = -11n + 11n Combine like terms: 11n + 11n = 22n 22n = -11n + 11n Combine like terms: -11n + 11n = 0 22n = 0 Divide each side by '22'. n = 0 Simplifying n = 0
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