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Simplifying 77 = -7(k + -4) Reorder the terms: 77 = -7(-4 + k) 77 = (-4 * -7 + k * -7) 77 = (28 + -7k) Solving 77 = 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. 77 + 7k = 28 + -7k + 7k Combine like terms: -7k + 7k = 0 77 + 7k = 28 + 0 77 + 7k = 28 Add '-77' to each side of the equation. 77 + -77 + 7k = 28 + -77 Combine like terms: 77 + -77 = 0 0 + 7k = 28 + -77 7k = 28 + -77 Combine like terms: 28 + -77 = -49 7k = -49 Divide each side by '7'. k = -7 Simplifying k = -7
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