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Simplifying 28 + -1k = -7(k + -4) Reorder the terms: 28 + -1k = -7(-4 + k) 28 + -1k = (-4 * -7 + k * -7) 28 + -1k = (28 + -7k) Add '-28' to each side of the equation. 28 + -28 + -1k = 28 + -28 + -7k Combine like terms: 28 + -28 = 0 0 + -1k = 28 + -28 + -7k -1k = 28 + -28 + -7k Combine like terms: 28 + -28 = 0 -1k = 0 + -7k -1k = -7k Solving -1k = -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. -1k + 7k = -7k + 7k Combine like terms: -1k + 7k = 6k 6k = -7k + 7k Combine like terms: -7k + 7k = 0 6k = 0 Divide each side by '6'. k = 0 Simplifying k = 0
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