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Simplifying -7(-3k + 5) = -7k + -35 Reorder the terms: -7(5 + -3k) = -7k + -35 (5 * -7 + -3k * -7) = -7k + -35 (-35 + 21k) = -7k + -35 Reorder the terms: -35 + 21k = -35 + -7k Add '35' to each side of the equation. -35 + 35 + 21k = -35 + 35 + -7k Combine like terms: -35 + 35 = 0 0 + 21k = -35 + 35 + -7k 21k = -35 + 35 + -7k Combine like terms: -35 + 35 = 0 21k = 0 + -7k 21k = -7k Solving 21k = -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. 21k + 7k = -7k + 7k Combine like terms: 21k + 7k = 28k 28k = -7k + 7k Combine like terms: -7k + 7k = 0 28k = 0 Divide each side by '28'. k = 0 Simplifying k = 0
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