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Simplifying 19 + 7k = 8(k + 2) Reorder the terms: 19 + 7k = 8(2 + k) 19 + 7k = (2 * 8 + k * 8) 19 + 7k = (16 + 8k) Solving 19 + 7k = 16 + 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 = 16 + 8k + -8k Combine like terms: 7k + -8k = -1k 19 + -1k = 16 + 8k + -8k Combine like terms: 8k + -8k = 0 19 + -1k = 16 + 0 19 + -1k = 16 Add '-19' to each side of the equation. 19 + -19 + -1k = 16 + -19 Combine like terms: 19 + -19 = 0 0 + -1k = 16 + -19 -1k = 16 + -19 Combine like terms: 16 + -19 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3
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