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Simplifying 5k + -8 + 7k = -30 Reorder the terms: -8 + 5k + 7k = -30 Combine like terms: 5k + 7k = 12k -8 + 12k = -30 Solving -8 + 12k = -30 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12k = -30 + 8 Combine like terms: -8 + 8 = 0 0 + 12k = -30 + 8 12k = -30 + 8 Combine like terms: -30 + 8 = -22 12k = -22 Divide each side by '12'. k = -1.833333333 Simplifying k = -1.833333333
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