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Simplifying -7(8 + k) = 0 (8 * -7 + k * -7) = 0 (-56 + -7k) = 0 Solving -56 + -7k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -7k = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -7k = 0 + 56 -7k = 0 + 56 Combine like terms: 0 + 56 = 56 -7k = 56 Divide each side by '-7'. k = -8 Simplifying k = -8
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