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Simplifying 2 + -1k = -7(k + 4) Reorder the terms: 2 + -1k = -7(4 + k) 2 + -1k = (4 * -7 + k * -7) 2 + -1k = (-28 + -7k) Solving 2 + -1k = -28 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 2 + -1k + 7k = -28 + -7k + 7k Combine like terms: -1k + 7k = 6k 2 + 6k = -28 + -7k + 7k Combine like terms: -7k + 7k = 0 2 + 6k = -28 + 0 2 + 6k = -28 Add '-2' to each side of the equation. 2 + -2 + 6k = -28 + -2 Combine like terms: 2 + -2 = 0 0 + 6k = -28 + -2 6k = -28 + -2 Combine like terms: -28 + -2 = -30 6k = -30 Divide each side by '6'. k = -5 Simplifying k = -5
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