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Simplifying 6k + 15 = 2k + 5 Reorder the terms: 15 + 6k = 2k + 5 Reorder the terms: 15 + 6k = 5 + 2k Solving 15 + 6k = 5 + 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. 15 + 6k + -2k = 5 + 2k + -2k Combine like terms: 6k + -2k = 4k 15 + 4k = 5 + 2k + -2k Combine like terms: 2k + -2k = 0 15 + 4k = 5 + 0 15 + 4k = 5 Add '-15' to each side of the equation. 15 + -15 + 4k = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 4k = 5 + -15 4k = 5 + -15 Combine like terms: 5 + -15 = -10 4k = -10 Divide each side by '4'. k = -2.5 Simplifying k = -2.5
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