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Simplifying 4 + 10s + 9k + -5s + -3k + 3 = 0 Reorder the terms: 4 + 3 + 9k + -3k + 10s + -5s = 0 Combine like terms: 4 + 3 = 7 7 + 9k + -3k + 10s + -5s = 0 Combine like terms: 9k + -3k = 6k 7 + 6k + 10s + -5s = 0 Combine like terms: 10s + -5s = 5s 7 + 6k + 5s = 0 Solving 7 + 6k + 5s = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6k + -7 + 5s = 0 + -7 Reorder the terms: 7 + -7 + 6k + 5s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6k + 5s = 0 + -7 6k + 5s = 0 + -7 Combine like terms: 0 + -7 = -7 6k + 5s = -7 Add '-5s' to each side of the equation. 6k + 5s + -5s = -7 + -5s Combine like terms: 5s + -5s = 0 6k + 0 = -7 + -5s 6k = -7 + -5s Divide each side by '6'. k = -1.166666667 + -0.8333333333s Simplifying k = -1.166666667 + -0.8333333333s
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