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Simplifying 36 + 2k = 12 + 8k Solving 36 + 2k = 12 + 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. 36 + 2k + -8k = 12 + 8k + -8k Combine like terms: 2k + -8k = -6k 36 + -6k = 12 + 8k + -8k Combine like terms: 8k + -8k = 0 36 + -6k = 12 + 0 36 + -6k = 12 Add '-36' to each side of the equation. 36 + -36 + -6k = 12 + -36 Combine like terms: 36 + -36 = 0 0 + -6k = 12 + -36 -6k = 12 + -36 Combine like terms: 12 + -36 = -24 -6k = -24 Divide each side by '-6'. k = 4 Simplifying k = 4
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