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Simplifying -16k + 18 + 19k = 6k + -18 Reorder the terms: 18 + -16k + 19k = 6k + -18 Combine like terms: -16k + 19k = 3k 18 + 3k = 6k + -18 Reorder the terms: 18 + 3k = -18 + 6k Solving 18 + 3k = -18 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 18 + 3k + -6k = -18 + 6k + -6k Combine like terms: 3k + -6k = -3k 18 + -3k = -18 + 6k + -6k Combine like terms: 6k + -6k = 0 18 + -3k = -18 + 0 18 + -3k = -18 Add '-18' to each side of the equation. 18 + -18 + -3k = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -3k = -18 + -18 -3k = -18 + -18 Combine like terms: -18 + -18 = -36 -3k = -36 Divide each side by '-3'. k = 12 Simplifying k = 12
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