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Simplifying 22 + -6k = 8 + -5(3k + 8) Reorder the terms: 22 + -6k = 8 + -5(8 + 3k) 22 + -6k = 8 + (8 * -5 + 3k * -5) 22 + -6k = 8 + (-40 + -15k) Combine like terms: 8 + -40 = -32 22 + -6k = -32 + -15k Solving 22 + -6k = -32 + -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 + -6k + 15k = -32 + -15k + 15k Combine like terms: -6k + 15k = 9k 22 + 9k = -32 + -15k + 15k Combine like terms: -15k + 15k = 0 22 + 9k = -32 + 0 22 + 9k = -32 Add '-22' to each side of the equation. 22 + -22 + 9k = -32 + -22 Combine like terms: 22 + -22 = 0 0 + 9k = -32 + -22 9k = -32 + -22 Combine like terms: -32 + -22 = -54 9k = -54 Divide each side by '9'. k = -6 Simplifying k = -6
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