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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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