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Simplifying 8 = 2(3 + 7k) + 5k 8 = (3 * 2 + 7k * 2) + 5k 8 = (6 + 14k) + 5k Combine like terms: 14k + 5k = 19k 8 = 6 + 19k Solving 8 = 6 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. 8 + -19k = 6 + 19k + -19k Combine like terms: 19k + -19k = 0 8 + -19k = 6 + 0 8 + -19k = 6 Add '-8' to each side of the equation. 8 + -8 + -19k = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -19k = 6 + -8 -19k = 6 + -8 Combine like terms: 6 + -8 = -2 -19k = -2 Divide each side by '-19'. k = 0.1052631579 Simplifying k = 0.1052631579
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