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Simplifying -113 = 5(5k + -5) + -3k Reorder the terms: -113 = 5(-5 + 5k) + -3k -113 = (-5 * 5 + 5k * 5) + -3k -113 = (-25 + 25k) + -3k Combine like terms: 25k + -3k = 22k -113 = -25 + 22k Solving -113 = -25 + 22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22k' to each side of the equation. -113 + -22k = -25 + 22k + -22k Combine like terms: 22k + -22k = 0 -113 + -22k = -25 + 0 -113 + -22k = -25 Add '113' to each side of the equation. -113 + 113 + -22k = -25 + 113 Combine like terms: -113 + 113 = 0 0 + -22k = -25 + 113 -22k = -25 + 113 Combine like terms: -25 + 113 = 88 -22k = 88 Divide each side by '-22'. k = -4 Simplifying k = -4
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