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Simplifying 20k + 17 = 3k + 20k + -16 Reorder the terms: 17 + 20k = 3k + 20k + -16 Reorder the terms: 17 + 20k = -16 + 3k + 20k Combine like terms: 3k + 20k = 23k 17 + 20k = -16 + 23k Solving 17 + 20k = -16 + 23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23k' to each side of the equation. 17 + 20k + -23k = -16 + 23k + -23k Combine like terms: 20k + -23k = -3k 17 + -3k = -16 + 23k + -23k Combine like terms: 23k + -23k = 0 17 + -3k = -16 + 0 17 + -3k = -16 Add '-17' to each side of the equation. 17 + -17 + -3k = -16 + -17 Combine like terms: 17 + -17 = 0 0 + -3k = -16 + -17 -3k = -16 + -17 Combine like terms: -16 + -17 = -33 -3k = -33 Divide each side by '-3'. k = 11 Simplifying k = 11
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