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Simplifying -82 = 7k + 19 + 13k Reorder the terms: -82 = 19 + 7k + 13k Combine like terms: 7k + 13k = 20k -82 = 19 + 20k Solving -82 = 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. -82 + -20k = 19 + 20k + -20k Combine like terms: 20k + -20k = 0 -82 + -20k = 19 + 0 -82 + -20k = 19 Add '82' to each side of the equation. -82 + 82 + -20k = 19 + 82 Combine like terms: -82 + 82 = 0 0 + -20k = 19 + 82 -20k = 19 + 82 Combine like terms: 19 + 82 = 101 -20k = 101 Divide each side by '-20'. k = -5.05 Simplifying k = -5.05
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