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Simplifying -5k + -14 = 5 + -13k Reorder the terms: -14 + -5k = 5 + -13k Solving -14 + -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. -14 + -5k + 13k = 5 + -13k + 13k Combine like terms: -5k + 13k = 8k -14 + 8k = 5 + -13k + 13k Combine like terms: -13k + 13k = 0 -14 + 8k = 5 + 0 -14 + 8k = 5 Add '14' to each side of the equation. -14 + 14 + 8k = 5 + 14 Combine like terms: -14 + 14 = 0 0 + 8k = 5 + 14 8k = 5 + 14 Combine like terms: 5 + 14 = 19 8k = 19 Divide each side by '8'. k = 2.375 Simplifying k = 2.375
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