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Simplifying -7(k + -8) = 8(7k + 7) Reorder the terms: -7(-8 + k) = 8(7k + 7) (-8 * -7 + k * -7) = 8(7k + 7) (56 + -7k) = 8(7k + 7) Reorder the terms: 56 + -7k = 8(7 + 7k) 56 + -7k = (7 * 8 + 7k * 8) 56 + -7k = (56 + 56k) Add '-56' to each side of the equation. 56 + -56 + -7k = 56 + -56 + 56k Combine like terms: 56 + -56 = 0 0 + -7k = 56 + -56 + 56k -7k = 56 + -56 + 56k Combine like terms: 56 + -56 = 0 -7k = 0 + 56k -7k = 56k Solving -7k = 56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56k' to each side of the equation. -7k + -56k = 56k + -56k Combine like terms: -7k + -56k = -63k -63k = 56k + -56k Combine like terms: 56k + -56k = 0 -63k = 0 Divide each side by '-63'. k = 0 Simplifying k = 0
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