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Simplifying 20k + 30 = 14k + -90 Reorder the terms: 30 + 20k = 14k + -90 Reorder the terms: 30 + 20k = -90 + 14k Solving 30 + 20k = -90 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 30 + 20k + -14k = -90 + 14k + -14k Combine like terms: 20k + -14k = 6k 30 + 6k = -90 + 14k + -14k Combine like terms: 14k + -14k = 0 30 + 6k = -90 + 0 30 + 6k = -90 Add '-30' to each side of the equation. 30 + -30 + 6k = -90 + -30 Combine like terms: 30 + -30 = 0 0 + 6k = -90 + -30 6k = -90 + -30 Combine like terms: -90 + -30 = -120 6k = -120 Divide each side by '6'. k = -20 Simplifying k = -20
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