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Simplifying 7 + 14s + 10k + -4s + -3k + 23 = 0 Reorder the terms: 7 + 23 + 10k + -3k + 14s + -4s = 0 Combine like terms: 7 + 23 = 30 30 + 10k + -3k + 14s + -4s = 0 Combine like terms: 10k + -3k = 7k 30 + 7k + 14s + -4s = 0 Combine like terms: 14s + -4s = 10s 30 + 7k + 10s = 0 Solving 30 + 7k + 10s = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 7k + -30 + 10s = 0 + -30 Reorder the terms: 30 + -30 + 7k + 10s = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7k + 10s = 0 + -30 7k + 10s = 0 + -30 Combine like terms: 0 + -30 = -30 7k + 10s = -30 Add '-10s' to each side of the equation. 7k + 10s + -10s = -30 + -10s Combine like terms: 10s + -10s = 0 7k + 0 = -30 + -10s 7k = -30 + -10s Divide each side by '7'. k = -4.285714286 + -1.428571429s Simplifying k = -4.285714286 + -1.428571429s
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