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Simplifying -7(k + 5) = -35 + -8k Reorder the terms: -7(5 + k) = -35 + -8k (5 * -7 + k * -7) = -35 + -8k (-35 + -7k) = -35 + -8k Add '35' to each side of the equation. -35 + 35 + -7k = -35 + 35 + -8k Combine like terms: -35 + 35 = 0 0 + -7k = -35 + 35 + -8k -7k = -35 + 35 + -8k Combine like terms: -35 + 35 = 0 -7k = 0 + -8k -7k = -8k Solving -7k = -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -7k + 8k = -8k + 8k Combine like terms: -7k + 8k = 1k 1k = -8k + 8k Combine like terms: -8k + 8k = 0 1k = 0 Divide each side by '1'. k = 0 Simplifying k = 0
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