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Simplifying -5 + 12k + -16 + (-5k) + 3 = 0 Reorder the terms: -5 + -16 + 3 + 12k + (-5k) = 0 Combine like terms: -5 + -16 = -21 -21 + 3 + 12k + (-5k) = 0 Combine like terms: -21 + 3 = -18 -18 + 12k + (-5k) = 0 Combine like terms: 12k + (-5k) = 7k -18 + 7k = 0 Solving -18 + 7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7k = 0 + 18 7k = 0 + 18 Combine like terms: 0 + 18 = 18 7k = 18 Divide each side by '7'. k = 2.571428571 Simplifying k = 2.571428571
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