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Simplifying -5(k + -5) + -7k = 121 Reorder the terms: -5(-5 + k) + -7k = 121 (-5 * -5 + k * -5) + -7k = 121 (25 + -5k) + -7k = 121 Combine like terms: -5k + -7k = -12k 25 + -12k = 121 Solving 25 + -12k = 121 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -12k = 121 + -25 Combine like terms: 25 + -25 = 0 0 + -12k = 121 + -25 -12k = 121 + -25 Combine like terms: 121 + -25 = 96 -12k = 96 Divide each side by '-12'. k = -8 Simplifying k = -8
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