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Simplifying -11k + -4k + 19 = -5 + -17k Reorder the terms: 19 + -11k + -4k = -5 + -17k Combine like terms: -11k + -4k = -15k 19 + -15k = -5 + -17k Solving 19 + -15k = -5 + -17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '17k' to each side of the equation. 19 + -15k + 17k = -5 + -17k + 17k Combine like terms: -15k + 17k = 2k 19 + 2k = -5 + -17k + 17k Combine like terms: -17k + 17k = 0 19 + 2k = -5 + 0 19 + 2k = -5 Add '-19' to each side of the equation. 19 + -19 + 2k = -5 + -19 Combine like terms: 19 + -19 = 0 0 + 2k = -5 + -19 2k = -5 + -19 Combine like terms: -5 + -19 = -24 2k = -24 Divide each side by '2'. k = -12 Simplifying k = -12
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