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Simplifying 7(3 + -1k) = -1k + 4 (3 * 7 + -1k * 7) = -1k + 4 (21 + -7k) = -1k + 4 Reorder the terms: 21 + -7k = 4 + -1k Solving 21 + -7k = 4 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 21 + -7k + k = 4 + -1k + k Combine like terms: -7k + k = -6k 21 + -6k = 4 + -1k + k Combine like terms: -1k + k = 0 21 + -6k = 4 + 0 21 + -6k = 4 Add '-21' to each side of the equation. 21 + -21 + -6k = 4 + -21 Combine like terms: 21 + -21 = 0 0 + -6k = 4 + -21 -6k = 4 + -21 Combine like terms: 4 + -21 = -17 -6k = -17 Divide each side by '-6'. k = 2.833333333 Simplifying k = 2.833333333
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