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Simplifying 8k + 5 = 4k + 13 Reorder the terms: 5 + 8k = 4k + 13 Reorder the terms: 5 + 8k = 13 + 4k Solving 5 + 8k = 13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 5 + 8k + -4k = 13 + 4k + -4k Combine like terms: 8k + -4k = 4k 5 + 4k = 13 + 4k + -4k Combine like terms: 4k + -4k = 0 5 + 4k = 13 + 0 5 + 4k = 13 Add '-5' to each side of the equation. 5 + -5 + 4k = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 13 + -5 4k = 13 + -5 Combine like terms: 13 + -5 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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