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Simplifying (7k + 9) + (4k + -3) = 0 Reorder the terms: (9 + 7k) + (4k + -3) = 0 Remove parenthesis around (9 + 7k) 9 + 7k + (4k + -3) = 0 Reorder the terms: 9 + 7k + (-3 + 4k) = 0 Remove parenthesis around (-3 + 4k) 9 + 7k + -3 + 4k = 0 Reorder the terms: 9 + -3 + 7k + 4k = 0 Combine like terms: 9 + -3 = 6 6 + 7k + 4k = 0 Combine like terms: 7k + 4k = 11k 6 + 11k = 0 Solving 6 + 11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 11k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11k = 0 + -6 11k = 0 + -6 Combine like terms: 0 + -6 = -6 11k = -6 Divide each side by '11'. k = -0.5454545455 Simplifying k = -0.5454545455
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