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Simplifying 7k + -22 = 5k + -6 Reorder the terms: -22 + 7k = 5k + -6 Reorder the terms: -22 + 7k = -6 + 5k Solving -22 + 7k = -6 + 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. -22 + 7k + -5k = -6 + 5k + -5k Combine like terms: 7k + -5k = 2k -22 + 2k = -6 + 5k + -5k Combine like terms: 5k + -5k = 0 -22 + 2k = -6 + 0 -22 + 2k = -6 Add '22' to each side of the equation. -22 + 22 + 2k = -6 + 22 Combine like terms: -22 + 22 = 0 0 + 2k = -6 + 22 2k = -6 + 22 Combine like terms: -6 + 22 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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