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Simplifying -5k + 6k + -18 = 12 + -1k Reorder the terms: -18 + -5k + 6k = 12 + -1k Combine like terms: -5k + 6k = 1k -18 + 1k = 12 + -1k Solving -18 + 1k = 12 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -18 + 1k + k = 12 + -1k + k Combine like terms: 1k + k = 2k -18 + 2k = 12 + -1k + k Combine like terms: -1k + k = 0 -18 + 2k = 12 + 0 -18 + 2k = 12 Add '18' to each side of the equation. -18 + 18 + 2k = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 2k = 12 + 18 2k = 12 + 18 Combine like terms: 12 + 18 = 30 2k = 30 Divide each side by '2'. k = 15 Simplifying k = 15
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