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Simplifying 19 + 4k + 20k = 18k + -17 Combine like terms: 4k + 20k = 24k 19 + 24k = 18k + -17 Reorder the terms: 19 + 24k = -17 + 18k Solving 19 + 24k = -17 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. 19 + 24k + -18k = -17 + 18k + -18k Combine like terms: 24k + -18k = 6k 19 + 6k = -17 + 18k + -18k Combine like terms: 18k + -18k = 0 19 + 6k = -17 + 0 19 + 6k = -17 Add '-19' to each side of the equation. 19 + -19 + 6k = -17 + -19 Combine like terms: 19 + -19 = 0 0 + 6k = -17 + -19 6k = -17 + -19 Combine like terms: -17 + -19 = -36 6k = -36 Divide each side by '6'. k = -6 Simplifying k = -6
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