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Simplifying 5 + -6k = 2k + -3 Reorder the terms: 5 + -6k = -3 + 2k Solving 5 + -6k = -3 + 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. 5 + -6k + -2k = -3 + 2k + -2k Combine like terms: -6k + -2k = -8k 5 + -8k = -3 + 2k + -2k Combine like terms: 2k + -2k = 0 5 + -8k = -3 + 0 5 + -8k = -3 Add '-5' to each side of the equation. 5 + -5 + -8k = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -8k = -3 + -5 -8k = -3 + -5 Combine like terms: -3 + -5 = -8 -8k = -8 Divide each side by '-8'. k = 1 Simplifying k = 1
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