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Simplifying 7k + 5 = 4k + -19 Reorder the terms: 5 + 7k = 4k + -19 Reorder the terms: 5 + 7k = -19 + 4k Solving 5 + 7k = -19 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 5 + 7k + -4k = -19 + 4k + -4k Combine like terms: 7k + -4k = 3k 5 + 3k = -19 + 4k + -4k Combine like terms: 4k + -4k = 0 5 + 3k = -19 + 0 5 + 3k = -19 Add '-5' to each side of the equation. 5 + -5 + 3k = -19 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = -19 + -5 3k = -19 + -5 Combine like terms: -19 + -5 = -24 3k = -24 Divide each side by '3'. k = -8 Simplifying k = -8
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