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Simplifying 5k + 15 = 4k + 45 Reorder the terms: 15 + 5k = 4k + 45 Reorder the terms: 15 + 5k = 45 + 4k Solving 15 + 5k = 45 + 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. 15 + 5k + -4k = 45 + 4k + -4k Combine like terms: 5k + -4k = 1k 15 + 1k = 45 + 4k + -4k Combine like terms: 4k + -4k = 0 15 + 1k = 45 + 0 15 + 1k = 45 Add '-15' to each side of the equation. 15 + -15 + 1k = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 1k = 45 + -15 1k = 45 + -15 Combine like terms: 45 + -15 = 30 1k = 30 Divide each side by '1'. k = 30 Simplifying k = 30
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