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Simplifying 2k + 3 = 6k + -5 Reorder the terms: 3 + 2k = 6k + -5 Reorder the terms: 3 + 2k = -5 + 6k Solving 3 + 2k = -5 + 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. 3 + 2k + -6k = -5 + 6k + -6k Combine like terms: 2k + -6k = -4k 3 + -4k = -5 + 6k + -6k Combine like terms: 6k + -6k = 0 3 + -4k = -5 + 0 3 + -4k = -5 Add '-3' to each side of the equation. 3 + -3 + -4k = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = -5 + -3 -4k = -5 + -3 Combine like terms: -5 + -3 = -8 -4k = -8 Divide each side by '-4'. k = 2 Simplifying k = 2
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