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Simplifying 5k + 19 = 5 + -13k Reorder the terms: 19 + 5k = 5 + -13k Solving 19 + 5k = 5 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. 19 + 5k + 13k = 5 + -13k + 13k Combine like terms: 5k + 13k = 18k 19 + 18k = 5 + -13k + 13k Combine like terms: -13k + 13k = 0 19 + 18k = 5 + 0 19 + 18k = 5 Add '-19' to each side of the equation. 19 + -19 + 18k = 5 + -19 Combine like terms: 19 + -19 = 0 0 + 18k = 5 + -19 18k = 5 + -19 Combine like terms: 5 + -19 = -14 18k = -14 Divide each side by '18'. k = -0.7777777778 Simplifying k = -0.7777777778
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