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Simplifying 4(11 + -2k) = 3k (11 * 4 + -2k * 4) = 3k (44 + -8k) = 3k Solving 44 + -8k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 44 + -8k + -3k = 3k + -3k Combine like terms: -8k + -3k = -11k 44 + -11k = 3k + -3k Combine like terms: 3k + -3k = 0 44 + -11k = 0 Add '-44' to each side of the equation. 44 + -44 + -11k = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -11k = 0 + -44 -11k = 0 + -44 Combine like terms: 0 + -44 = -44 -11k = -44 Divide each side by '-11'. k = 4 Simplifying k = 4
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