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Simplifying 1 + 18k = 19k + -15 Reorder the terms: 1 + 18k = -15 + 19k Solving 1 + 18k = -15 + 19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19k' to each side of the equation. 1 + 18k + -19k = -15 + 19k + -19k Combine like terms: 18k + -19k = -1k 1 + -1k = -15 + 19k + -19k Combine like terms: 19k + -19k = 0 1 + -1k = -15 + 0 1 + -1k = -15 Add '-1' to each side of the equation. 1 + -1 + -1k = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = -15 + -1 -1k = -15 + -1 Combine like terms: -15 + -1 = -16 -1k = -16 Divide each side by '-1'. k = 16 Simplifying k = 16
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