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Simplifying -77 = -7(k + 3) Reorder the terms: -77 = -7(3 + k) -77 = (3 * -7 + k * -7) -77 = (-21 + -7k) Solving -77 = -21 + -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 = -21 + -7k + 7k Combine like terms: -7k + 7k = 0 -77 + 7k = -21 + 0 -77 + 7k = -21 Add '77' to each side of the equation. -77 + 77 + 7k = -21 + 77 Combine like terms: -77 + 77 = 0 0 + 7k = -21 + 77 7k = -21 + 77 Combine like terms: -21 + 77 = 56 7k = 56 Divide each side by '7'. k = 8 Simplifying k = 8
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