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Simplifying -7(k + -5) + -7k = 7 Reorder the terms: -7(-5 + k) + -7k = 7 (-5 * -7 + k * -7) + -7k = 7 (35 + -7k) + -7k = 7 Combine like terms: -7k + -7k = -14k 35 + -14k = 7 Solving 35 + -14k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -14k = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -14k = 7 + -35 -14k = 7 + -35 Combine like terms: 7 + -35 = -28 -14k = -28 Divide each side by '-14'. k = 2 Simplifying k = 2
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