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Simplifying 2k + 5 = 3k + -3 Reorder the terms: 5 + 2k = 3k + -3 Reorder the terms: 5 + 2k = -3 + 3k Solving 5 + 2k = -3 + 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. 5 + 2k + -3k = -3 + 3k + -3k Combine like terms: 2k + -3k = -1k 5 + -1k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + -1k = -3 + 0 5 + -1k = -3 Add '-5' to each side of the equation. 5 + -5 + -1k = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = -3 + -5 -1k = -3 + -5 Combine like terms: -3 + -5 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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