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Simplifying 3(4 + 6k) = 44 + 2k (4 * 3 + 6k * 3) = 44 + 2k (12 + 18k) = 44 + 2k Solving 12 + 18k = 44 + 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. 12 + 18k + -2k = 44 + 2k + -2k Combine like terms: 18k + -2k = 16k 12 + 16k = 44 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + 16k = 44 + 0 12 + 16k = 44 Add '-12' to each side of the equation. 12 + -12 + 16k = 44 + -12 Combine like terms: 12 + -12 = 0 0 + 16k = 44 + -12 16k = 44 + -12 Combine like terms: 44 + -12 = 32 16k = 32 Divide each side by '16'. k = 2 Simplifying k = 2
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