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Simplifying -6(2k + -20) = -1k + -16 + -19k Reorder the terms: -6(-20 + 2k) = -1k + -16 + -19k (-20 * -6 + 2k * -6) = -1k + -16 + -19k (120 + -12k) = -1k + -16 + -19k Reorder the terms: 120 + -12k = -16 + -1k + -19k Combine like terms: -1k + -19k = -20k 120 + -12k = -16 + -20k Solving 120 + -12k = -16 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. 120 + -12k + 20k = -16 + -20k + 20k Combine like terms: -12k + 20k = 8k 120 + 8k = -16 + -20k + 20k Combine like terms: -20k + 20k = 0 120 + 8k = -16 + 0 120 + 8k = -16 Add '-120' to each side of the equation. 120 + -120 + 8k = -16 + -120 Combine like terms: 120 + -120 = 0 0 + 8k = -16 + -120 8k = -16 + -120 Combine like terms: -16 + -120 = -136 8k = -136 Divide each side by '8'. k = -17 Simplifying k = -17
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