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Simplifying 5k + 2 = 6k + -3 Reorder the terms: 2 + 5k = 6k + -3 Reorder the terms: 2 + 5k = -3 + 6k Solving 2 + 5k = -3 + 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. 2 + 5k + -6k = -3 + 6k + -6k Combine like terms: 5k + -6k = -1k 2 + -1k = -3 + 6k + -6k Combine like terms: 6k + -6k = 0 2 + -1k = -3 + 0 2 + -1k = -3 Add '-2' to each side of the equation. 2 + -2 + -1k = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = -3 + -2 -1k = -3 + -2 Combine like terms: -3 + -2 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5
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