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Simplifying 4k + 12 + 13 + k + 2k + 7 = 0 Reorder the terms: 12 + 13 + 7 + 4k + k + 2k = 0 Combine like terms: 12 + 13 = 25 25 + 7 + 4k + k + 2k = 0 Combine like terms: 25 + 7 = 32 32 + 4k + k + 2k = 0 Combine like terms: 4k + k = 5k 32 + 5k + 2k = 0 Combine like terms: 5k + 2k = 7k 32 + 7k = 0 Solving 32 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 7k = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 7k = 0 + -32 7k = 0 + -32 Combine like terms: 0 + -32 = -32 7k = -32 Divide each side by '7'. k = -4.571428571 Simplifying k = -4.571428571
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