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Simplifying (9k + -3) + 4(7k + 6) = 0 Reorder the terms: (-3 + 9k) + 4(7k + 6) = 0 Remove parenthesis around (-3 + 9k) -3 + 9k + 4(7k + 6) = 0 Reorder the terms: -3 + 9k + 4(6 + 7k) = 0 -3 + 9k + (6 * 4 + 7k * 4) = 0 -3 + 9k + (24 + 28k) = 0 Reorder the terms: -3 + 24 + 9k + 28k = 0 Combine like terms: -3 + 24 = 21 21 + 9k + 28k = 0 Combine like terms: 9k + 28k = 37k 21 + 37k = 0 Solving 21 + 37k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 37k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 37k = 0 + -21 37k = 0 + -21 Combine like terms: 0 + -21 = -21 37k = -21 Divide each side by '37'. k = -0.5675675676 Simplifying k = -0.5675675676
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