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Simplifying 8k + 13 = 5k + -62 Reorder the terms: 13 + 8k = 5k + -62 Reorder the terms: 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 = 3k 13 + 3k = -62 + 5k + -5k Combine like terms: 5k + -5k = 0 13 + 3k = -62 + 0 13 + 3k = -62 Add '-13' to each side of the equation. 13 + -13 + 3k = -62 + -13 Combine like terms: 13 + -13 = 0 0 + 3k = -62 + -13 3k = -62 + -13 Combine like terms: -62 + -13 = -75 3k = -75 Divide each side by '3'. k = -25 Simplifying k = -25
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