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Simplifying 3 + -6k = 13 + -8k Solving 3 + -6k = 13 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 3 + -6k + 8k = 13 + -8k + 8k Combine like terms: -6k + 8k = 2k 3 + 2k = 13 + -8k + 8k Combine like terms: -8k + 8k = 0 3 + 2k = 13 + 0 3 + 2k = 13 Add '-3' to each side of the equation. 3 + -3 + 2k = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 2k = 13 + -3 2k = 13 + -3 Combine like terms: 13 + -3 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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