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Simplifying -22 = 8k + 8 + 7k Reorder the terms: -22 = 8 + 8k + 7k Combine like terms: 8k + 7k = 15k -22 = 8 + 15k Solving -22 = 8 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. -22 + -15k = 8 + 15k + -15k Combine like terms: 15k + -15k = 0 -22 + -15k = 8 + 0 -22 + -15k = 8 Add '22' to each side of the equation. -22 + 22 + -15k = 8 + 22 Combine like terms: -22 + 22 = 0 0 + -15k = 8 + 22 -15k = 8 + 22 Combine like terms: 8 + 22 = 30 -15k = 30 Divide each side by '-15'. k = -2 Simplifying k = -2
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