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Simplifying -5k + 18 = -9k + -18 + 6k Reorder the terms: 18 + -5k = -9k + -18 + 6k Reorder the terms: 18 + -5k = -18 + -9k + 6k Combine like terms: -9k + 6k = -3k 18 + -5k = -18 + -3k Solving 18 + -5k = -18 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 18 + -5k + 3k = -18 + -3k + 3k Combine like terms: -5k + 3k = -2k 18 + -2k = -18 + -3k + 3k Combine like terms: -3k + 3k = 0 18 + -2k = -18 + 0 18 + -2k = -18 Add '-18' to each side of the equation. 18 + -18 + -2k = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -2k = -18 + -18 -2k = -18 + -18 Combine like terms: -18 + -18 = -36 -2k = -36 Divide each side by '-2'. k = 18 Simplifying k = 18
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