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Simplifying -5(k + -79) + -11 = -61 Reorder the terms: -5(-79 + k) + -11 = -61 (-79 * -5 + k * -5) + -11 = -61 (395 + -5k) + -11 = -61 Reorder the terms: 395 + -11 + -5k = -61 Combine like terms: 395 + -11 = 384 384 + -5k = -61 Solving 384 + -5k = -61 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-384' to each side of the equation. 384 + -384 + -5k = -61 + -384 Combine like terms: 384 + -384 = 0 0 + -5k = -61 + -384 -5k = -61 + -384 Combine like terms: -61 + -384 = -445 -5k = -445 Divide each side by '-5'. k = 89 Simplifying k = 89
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