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Simplifying 2ln + 8m + 6n + 9 = 5m + 10n + -2 Reorder the terms: 9 + 2ln + 8m + 6n = 5m + 10n + -2 Reorder the terms: 9 + 2ln + 8m + 6n = -2 + 5m + 10n Solving 9 + 2ln + 8m + 6n = -2 + 5m + 10n Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2ln + 8m + -9 + 6n = -2 + 5m + -9 + 10n Reorder the terms: 9 + -9 + 2ln + 8m + 6n = -2 + 5m + -9 + 10n Combine like terms: 9 + -9 = 0 0 + 2ln + 8m + 6n = -2 + 5m + -9 + 10n 2ln + 8m + 6n = -2 + 5m + -9 + 10n Reorder the terms: 2ln + 8m + 6n = -2 + -9 + 5m + 10n Combine like terms: -2 + -9 = -11 2ln + 8m + 6n = -11 + 5m + 10n Add '-8m' to each side of the equation. 2ln + 8m + -8m + 6n = -11 + 5m + -8m + 10n Combine like terms: 8m + -8m = 0 2ln + 0 + 6n = -11 + 5m + -8m + 10n 2ln + 6n = -11 + 5m + -8m + 10n Combine like terms: 5m + -8m = -3m 2ln + 6n = -11 + -3m + 10n Add '-6n' to each side of the equation. 2ln + 6n + -6n = -11 + -3m + 10n + -6n Combine like terms: 6n + -6n = 0 2ln + 0 = -11 + -3m + 10n + -6n 2ln = -11 + -3m + 10n + -6n Combine like terms: 10n + -6n = 4n 2ln = -11 + -3m + 4n Divide each side by '2n'. l = -5.5n-1 + -1.5mn-1 + 2 Simplifying l = -5.5n-1 + -1.5mn-1 + 2 Reorder the terms: l = 2 + -1.5mn-1 + -5.5n-1
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