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Simplifying -20k + -16 = 14 + -8k + -17k Reorder the terms: -16 + -20k = 14 + -8k + -17k Combine like terms: -8k + -17k = -25k -16 + -20k = 14 + -25k Solving -16 + -20k = 14 + -25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '25k' to each side of the equation. -16 + -20k + 25k = 14 + -25k + 25k Combine like terms: -20k + 25k = 5k -16 + 5k = 14 + -25k + 25k Combine like terms: -25k + 25k = 0 -16 + 5k = 14 + 0 -16 + 5k = 14 Add '16' to each side of the equation. -16 + 16 + 5k = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 5k = 14 + 16 5k = 14 + 16 Combine like terms: 14 + 16 = 30 5k = 30 Divide each side by '5'. k = 6 Simplifying k = 6
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