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Simplifying 2(k + 3) + -8k = 6 + 5k Reorder the terms: 2(3 + k) + -8k = 6 + 5k (3 * 2 + k * 2) + -8k = 6 + 5k (6 + 2k) + -8k = 6 + 5k Combine like terms: 2k + -8k = -6k 6 + -6k = 6 + 5k Add '-6' to each side of the equation. 6 + -6 + -6k = 6 + -6 + 5k Combine like terms: 6 + -6 = 0 0 + -6k = 6 + -6 + 5k -6k = 6 + -6 + 5k Combine like terms: 6 + -6 = 0 -6k = 0 + 5k -6k = 5k Solving -6k = 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -6k + -5k = 5k + -5k Combine like terms: -6k + -5k = -11k -11k = 5k + -5k Combine like terms: 5k + -5k = 0 -11k = 0 Divide each side by '-11'. k = 0 Simplifying k = 0
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