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Simplifying -11k + 14 = 5(-6k + -20) Reorder the terms: 14 + -11k = 5(-6k + -20) Reorder the terms: 14 + -11k = 5(-20 + -6k) 14 + -11k = (-20 * 5 + -6k * 5) 14 + -11k = (-100 + -30k) Solving 14 + -11k = -100 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. 14 + -11k + 30k = -100 + -30k + 30k Combine like terms: -11k + 30k = 19k 14 + 19k = -100 + -30k + 30k Combine like terms: -30k + 30k = 0 14 + 19k = -100 + 0 14 + 19k = -100 Add '-14' to each side of the equation. 14 + -14 + 19k = -100 + -14 Combine like terms: 14 + -14 = 0 0 + 19k = -100 + -14 19k = -100 + -14 Combine like terms: -100 + -14 = -114 19k = -114 Divide each side by '19'. k = -6 Simplifying k = -6
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