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Simplifying 7k + 19 = 8k + 10 Reorder the terms: 19 + 7k = 8k + 10 Reorder the terms: 19 + 7k = 10 + 8k Solving 19 + 7k = 10 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 19 + 7k + -8k = 10 + 8k + -8k Combine like terms: 7k + -8k = -1k 19 + -1k = 10 + 8k + -8k Combine like terms: 8k + -8k = 0 19 + -1k = 10 + 0 19 + -1k = 10 Add '-19' to each side of the equation. 19 + -19 + -1k = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -1k = 10 + -19 -1k = 10 + -19 Combine like terms: 10 + -19 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9
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