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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 = 24 8k = 24 Divide each side by '8'. k = 3 Simplifying k = 3
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