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Simplifying -6(-6 + -6k) + -3k = 16 + 7k (-6 * -6 + -6k * -6) + -3k = 16 + 7k (36 + 36k) + -3k = 16 + 7k Combine like terms: 36k + -3k = 33k 36 + 33k = 16 + 7k Solving 36 + 33k = 16 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 36 + 33k + -7k = 16 + 7k + -7k Combine like terms: 33k + -7k = 26k 36 + 26k = 16 + 7k + -7k Combine like terms: 7k + -7k = 0 36 + 26k = 16 + 0 36 + 26k = 16 Add '-36' to each side of the equation. 36 + -36 + 26k = 16 + -36 Combine like terms: 36 + -36 = 0 0 + 26k = 16 + -36 26k = 16 + -36 Combine like terms: 16 + -36 = -20 26k = -20 Divide each side by '26'. k = -0.7692307692 Simplifying k = -0.7692307692
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