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Simplifying 7k + -6 = 3k + -22 Reorder the terms: -6 + 7k = 3k + -22 Reorder the terms: -6 + 7k = -22 + 3k Solving -6 + 7k = -22 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -6 + 7k + -3k = -22 + 3k + -3k Combine like terms: 7k + -3k = 4k -6 + 4k = -22 + 3k + -3k Combine like terms: 3k + -3k = 0 -6 + 4k = -22 + 0 -6 + 4k = -22 Add '6' to each side of the equation. -6 + 6 + 4k = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 4k = -22 + 6 4k = -22 + 6 Combine like terms: -22 + 6 = -16 4k = -16 Divide each side by '4'. k = -4 Simplifying k = -4
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