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Simplifying 10k + 3 = 6k + 15 Reorder the terms: 3 + 10k = 6k + 15 Reorder the terms: 3 + 10k = 15 + 6k Solving 3 + 10k = 15 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 3 + 10k + -6k = 15 + 6k + -6k Combine like terms: 10k + -6k = 4k 3 + 4k = 15 + 6k + -6k Combine like terms: 6k + -6k = 0 3 + 4k = 15 + 0 3 + 4k = 15 Add '-3' to each side of the equation. 3 + -3 + 4k = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4k = 15 + -3 4k = 15 + -3 Combine like terms: 15 + -3 = 12 4k = 12 Divide each side by '4'. k = 3 Simplifying k = 3
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