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Simplifying -6k + 15 = -5k + 2k Reorder the terms: 15 + -6k = -5k + 2k Combine like terms: -5k + 2k = -3k 15 + -6k = -3k Solving 15 + -6k = -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. 15 + -6k + 3k = -3k + 3k Combine like terms: -6k + 3k = -3k 15 + -3k = -3k + 3k Combine like terms: -3k + 3k = 0 15 + -3k = 0 Add '-15' to each side of the equation. 15 + -15 + -3k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -3k = 0 + -15 -3k = 0 + -15 Combine like terms: 0 + -15 = -15 -3k = -15 Divide each side by '-3'. k = 5 Simplifying k = 5
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