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Simplifying -81 = 7k + 19 + 13k Reorder the terms: -81 = 19 + 7k + 13k Combine like terms: 7k + 13k = 20k -81 = 19 + 20k Solving -81 = 19 + 20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20k' to each side of the equation. -81 + -20k = 19 + 20k + -20k Combine like terms: 20k + -20k = 0 -81 + -20k = 19 + 0 -81 + -20k = 19 Add '81' to each side of the equation. -81 + 81 + -20k = 19 + 81 Combine like terms: -81 + 81 = 0 0 + -20k = 19 + 81 -20k = 19 + 81 Combine like terms: 19 + 81 = 100 -20k = 100 Divide each side by '-20'. k = -5 Simplifying k = -5
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