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Simplifying -1(7k + -4) = -1k + 4 Reorder the terms: -1(-4 + 7k) = -1k + 4 (-4 * -1 + 7k * -1) = -1k + 4 (4 + -7k) = -1k + 4 Reorder the terms: 4 + -7k = 4 + -1k Add '-4' to each side of the equation. 4 + -4 + -7k = 4 + -4 + -1k Combine like terms: 4 + -4 = 0 0 + -7k = 4 + -4 + -1k -7k = 4 + -4 + -1k Combine like terms: 4 + -4 = 0 -7k = 0 + -1k -7k = -1k Solving -7k = -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -7k + k = -1k + k Combine like terms: -7k + k = -6k -6k = -1k + k Combine like terms: -1k + k = 0 -6k = 0 Divide each side by '-6'. k = 0 Simplifying k = 0
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