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Simplifying 50 = 3(2 + 4k) + -1k 50 = (2 * 3 + 4k * 3) + -1k 50 = (6 + 12k) + -1k Combine like terms: 12k + -1k = 11k 50 = 6 + 11k Solving 50 = 6 + 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 50 + -11k = 6 + 11k + -11k Combine like terms: 11k + -11k = 0 50 + -11k = 6 + 0 50 + -11k = 6 Add '-50' to each side of the equation. 50 + -50 + -11k = 6 + -50 Combine like terms: 50 + -50 = 0 0 + -11k = 6 + -50 -11k = 6 + -50 Combine like terms: 6 + -50 = -44 -11k = -44 Divide each side by '-11'. k = 4 Simplifying k = 4
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