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Simplifying 13 + 8k = 62 + -5k Solving 13 + 8k = 62 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 13 + 8k + 5k = 62 + -5k + 5k Combine like terms: 8k + 5k = 13k 13 + 13k = 62 + -5k + 5k Combine like terms: -5k + 5k = 0 13 + 13k = 62 + 0 13 + 13k = 62 Add '-13' to each side of the equation. 13 + -13 + 13k = 62 + -13 Combine like terms: 13 + -13 = 0 0 + 13k = 62 + -13 13k = 62 + -13 Combine like terms: 62 + -13 = 49 13k = 49 Divide each side by '13'. k = 3.769230769 Simplifying k = 3.769230769
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