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Simplifying 16k + -5 = 31 + 20k Reorder the terms: -5 + 16k = 31 + 20k Solving -5 + 16k = 31 + 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. -5 + 16k + -20k = 31 + 20k + -20k Combine like terms: 16k + -20k = -4k -5 + -4k = 31 + 20k + -20k Combine like terms: 20k + -20k = 0 -5 + -4k = 31 + 0 -5 + -4k = 31 Add '5' to each side of the equation. -5 + 5 + -4k = 31 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = 31 + 5 -4k = 31 + 5 Combine like terms: 31 + 5 = 36 -4k = 36 Divide each side by '-4'. k = -9 Simplifying k = -9
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