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Simplifying 7k + -9 = 3k + -8k Reorder the terms: -9 + 7k = 3k + -8k Combine like terms: 3k + -8k = -5k -9 + 7k = -5k Solving -9 + 7k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -9 + 7k + 5k = -5k + 5k Combine like terms: 7k + 5k = 12k -9 + 12k = -5k + 5k Combine like terms: -5k + 5k = 0 -9 + 12k = 0 Add '9' to each side of the equation. -9 + 9 + 12k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 12k = 0 + 9 12k = 0 + 9 Combine like terms: 0 + 9 = 9 12k = 9 Divide each side by '12'. k = 0.75 Simplifying k = 0.75
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