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Simplifying 3 + 7k = 5 + -4k Solving 3 + 7k = 5 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 3 + 7k + 4k = 5 + -4k + 4k Combine like terms: 7k + 4k = 11k 3 + 11k = 5 + -4k + 4k Combine like terms: -4k + 4k = 0 3 + 11k = 5 + 0 3 + 11k = 5 Add '-3' to each side of the equation. 3 + -3 + 11k = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 11k = 5 + -3 11k = 5 + -3 Combine like terms: 5 + -3 = 2 11k = 2 Divide each side by '11'. k = 0.1818181818 Simplifying k = 0.1818181818
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