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Simplifying 13k + 5 = -1k + -7 Reorder the terms: 5 + 13k = -1k + -7 Reorder the terms: 5 + 13k = -7 + -1k Solving 5 + 13k = -7 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 5 + 13k + k = -7 + -1k + k Combine like terms: 13k + k = 14k 5 + 14k = -7 + -1k + k Combine like terms: -1k + k = 0 5 + 14k = -7 + 0 5 + 14k = -7 Add '-5' to each side of the equation. 5 + -5 + 14k = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 14k = -7 + -5 14k = -7 + -5 Combine like terms: -7 + -5 = -12 14k = -12 Divide each side by '14'. k = -0.8571428571 Simplifying k = -0.8571428571
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