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Simplifying 4k + 10 = 3k + 15 Reorder the terms: 10 + 4k = 3k + 15 Reorder the terms: 10 + 4k = 15 + 3k Solving 10 + 4k = 15 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 10 + 4k + -3k = 15 + 3k + -3k Combine like terms: 4k + -3k = 1k 10 + 1k = 15 + 3k + -3k Combine like terms: 3k + -3k = 0 10 + 1k = 15 + 0 10 + 1k = 15 Add '-10' to each side of the equation. 10 + -10 + 1k = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 1k = 15 + -10 1k = 15 + -10 Combine like terms: 15 + -10 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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