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Simplifying 19 + 2k + 17 = -4k + -18 Reorder the terms: 19 + 17 + 2k = -4k + -18 Combine like terms: 19 + 17 = 36 36 + 2k = -4k + -18 Reorder the terms: 36 + 2k = -18 + -4k Solving 36 + 2k = -18 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 36 + 2k + 4k = -18 + -4k + 4k Combine like terms: 2k + 4k = 6k 36 + 6k = -18 + -4k + 4k Combine like terms: -4k + 4k = 0 36 + 6k = -18 + 0 36 + 6k = -18 Add '-36' to each side of the equation. 36 + -36 + 6k = -18 + -36 Combine like terms: 36 + -36 = 0 0 + 6k = -18 + -36 6k = -18 + -36 Combine like terms: -18 + -36 = -54 6k = -54 Divide each side by '6'. k = -9 Simplifying k = -9
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