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Simplifying -5l + 4m + -3n + 8 = -7m + -6n + -6 Reorder the terms: 8 + -5l + 4m + -3n = -7m + -6n + -6 Reorder the terms: 8 + -5l + 4m + -3n = -6 + -7m + -6n Solving 8 + -5l + 4m + -3n = -6 + -7m + -6n Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -5l + 4m + -8 + -3n = -6 + -7m + -8 + -6n Reorder the terms: 8 + -8 + -5l + 4m + -3n = -6 + -7m + -8 + -6n Combine like terms: 8 + -8 = 0 0 + -5l + 4m + -3n = -6 + -7m + -8 + -6n -5l + 4m + -3n = -6 + -7m + -8 + -6n Reorder the terms: -5l + 4m + -3n = -6 + -8 + -7m + -6n Combine like terms: -6 + -8 = -14 -5l + 4m + -3n = -14 + -7m + -6n Add '-4m' to each side of the equation. -5l + 4m + -4m + -3n = -14 + -7m + -4m + -6n Combine like terms: 4m + -4m = 0 -5l + 0 + -3n = -14 + -7m + -4m + -6n -5l + -3n = -14 + -7m + -4m + -6n Combine like terms: -7m + -4m = -11m -5l + -3n = -14 + -11m + -6n Add '3n' to each side of the equation. -5l + -3n + 3n = -14 + -11m + -6n + 3n Combine like terms: -3n + 3n = 0 -5l + 0 = -14 + -11m + -6n + 3n -5l = -14 + -11m + -6n + 3n Combine like terms: -6n + 3n = -3n -5l = -14 + -11m + -3n Divide each side by '-5'. l = 2.8 + 2.2m + 0.6n Simplifying l = 2.8 + 2.2m + 0.6n
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