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Simplifying -81 = 7k + 3k + 19 Reorder the terms: -81 = 19 + 7k + 3k Combine like terms: 7k + 3k = 10k -81 = 19 + 10k Solving -81 = 19 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -81 + -10k = 19 + 10k + -10k Combine like terms: 10k + -10k = 0 -81 + -10k = 19 + 0 -81 + -10k = 19 Add '81' to each side of the equation. -81 + 81 + -10k = 19 + 81 Combine like terms: -81 + 81 = 0 0 + -10k = 19 + 81 -10k = 19 + 81 Combine like terms: 19 + 81 = 100 -10k = 100 Divide each side by '-10'. k = -10 Simplifying k = -10
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