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Simplifying 19 + 6k = -11 + 2k + -18 Reorder the terms: 19 + 6k = -11 + -18 + 2k Combine like terms: -11 + -18 = -29 19 + 6k = -29 + 2k Solving 19 + 6k = -29 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 19 + 6k + -2k = -29 + 2k + -2k Combine like terms: 6k + -2k = 4k 19 + 4k = -29 + 2k + -2k Combine like terms: 2k + -2k = 0 19 + 4k = -29 + 0 19 + 4k = -29 Add '-19' to each side of the equation. 19 + -19 + 4k = -29 + -19 Combine like terms: 19 + -19 = 0 0 + 4k = -29 + -19 4k = -29 + -19 Combine like terms: -29 + -19 = -48 4k = -48 Divide each side by '4'. k = -12 Simplifying k = -12
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