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Simplifying 4k + 5 = 2k + 15 Reorder the terms: 5 + 4k = 2k + 15 Reorder the terms: 5 + 4k = 15 + 2k Solving 5 + 4k = 15 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 5 + 4k + -2k = 15 + 2k + -2k Combine like terms: 4k + -2k = 2k 5 + 2k = 15 + 2k + -2k Combine like terms: 2k + -2k = 0 5 + 2k = 15 + 0 5 + 2k = 15 Add '-5' to each side of the equation. 5 + -5 + 2k = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 2k = 15 + -5 2k = 15 + -5 Combine like terms: 15 + -5 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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