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Simplifying 7k + -5 = k + 19 Reorder the terms: -5 + 7k = k + 19 Reorder the terms: -5 + 7k = 19 + k Solving -5 + 7k = 19 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -5 + 7k + -1k = 19 + k + -1k Combine like terms: 7k + -1k = 6k -5 + 6k = 19 + k + -1k Combine like terms: k + -1k = 0 -5 + 6k = 19 + 0 -5 + 6k = 19 Add '5' to each side of the equation. -5 + 5 + 6k = 19 + 5 Combine like terms: -5 + 5 = 0 0 + 6k = 19 + 5 6k = 19 + 5 Combine like terms: 19 + 5 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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