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Simplifying -20 = 11k + 12 + 5k Reorder the terms: -20 = 12 + 11k + 5k Combine like terms: 11k + 5k = 16k -20 = 12 + 16k Solving -20 = 12 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -20 + -16k = 12 + 16k + -16k Combine like terms: 16k + -16k = 0 -20 + -16k = 12 + 0 -20 + -16k = 12 Add '20' to each side of the equation. -20 + 20 + -16k = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -16k = 12 + 20 -16k = 12 + 20 Combine like terms: 12 + 20 = 32 -16k = 32 Divide each side by '-16'. k = -2 Simplifying k = -2
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