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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 = 8k 19 + 8k = 5 + -13k + 13k Combine like terms: -13k + 13k = 0 19 + 8k = 5 + 0 19 + 8k = 5 Add '-19' to each side of the equation. 19 + -19 + 8k = 5 + -19 Combine like terms: 19 + -19 = 0 0 + 8k = 5 + -19 8k = 5 + -19 Combine like terms: 5 + -19 = -14 8k = -14 Divide each side by '8'. k = -1.75 Simplifying k = -1.75
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