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Simplifying 17 = 6 + 5k + 1 Reorder the terms: 17 = 6 + 1 + 5k Combine like terms: 6 + 1 = 7 17 = 7 + 5k Solving 17 = 7 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 17 + -5k = 7 + 5k + -5k Combine like terms: 5k + -5k = 0 17 + -5k = 7 + 0 17 + -5k = 7 Add '-17' to each side of the equation. 17 + -17 + -5k = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -5k = 7 + -17 -5k = 7 + -17 Combine like terms: 7 + -17 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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