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Simplifying 10k + 13 = 4k + 49 Reorder the terms: 13 + 10k = 4k + 49 Reorder the terms: 13 + 10k = 49 + 4k Solving 13 + 10k = 49 + 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. 13 + 10k + -4k = 49 + 4k + -4k Combine like terms: 10k + -4k = 6k 13 + 6k = 49 + 4k + -4k Combine like terms: 4k + -4k = 0 13 + 6k = 49 + 0 13 + 6k = 49 Add '-13' to each side of the equation. 13 + -13 + 6k = 49 + -13 Combine like terms: 13 + -13 = 0 0 + 6k = 49 + -13 6k = 49 + -13 Combine like terms: 49 + -13 = 36 6k = 36 Divide each side by '6'. k = 6 Simplifying k = 6
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