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Simplifying -7(k + 3) = 77 Reorder the terms: -7(3 + k) = 77 (3 * -7 + k * -7) = 77 (-21 + -7k) = 77 Solving -21 + -7k = 77 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -7k = 77 + 21 Combine like terms: -21 + 21 = 0 0 + -7k = 77 + 21 -7k = 77 + 21 Combine like terms: 77 + 21 = 98 -7k = 98 Divide each side by '-7'. k = -14 Simplifying k = -14
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