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Simplifying 19 + 17 + 9k = -16 + 5k Combine like terms: 19 + 17 = 36 36 + 9k = -16 + 5k Solving 36 + 9k = -16 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 36 + 9k + -5k = -16 + 5k + -5k Combine like terms: 9k + -5k = 4k 36 + 4k = -16 + 5k + -5k Combine like terms: 5k + -5k = 0 36 + 4k = -16 + 0 36 + 4k = -16 Add '-36' to each side of the equation. 36 + -36 + 4k = -16 + -36 Combine like terms: 36 + -36 = 0 0 + 4k = -16 + -36 4k = -16 + -36 Combine like terms: -16 + -36 = -52 4k = -52 Divide each side by '4'. k = -13 Simplifying k = -13
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