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Simplifying -17 + -18k = 5k + 18 + 11 Reorder the terms: -17 + -18k = 18 + 11 + 5k Combine like terms: 18 + 11 = 29 -17 + -18k = 29 + 5k Solving -17 + -18k = 29 + 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 + -18k + -5k = 29 + 5k + -5k Combine like terms: -18k + -5k = -23k -17 + -23k = 29 + 5k + -5k Combine like terms: 5k + -5k = 0 -17 + -23k = 29 + 0 -17 + -23k = 29 Add '17' to each side of the equation. -17 + 17 + -23k = 29 + 17 Combine like terms: -17 + 17 = 0 0 + -23k = 29 + 17 -23k = 29 + 17 Combine like terms: 29 + 17 = 46 -23k = 46 Divide each side by '-23'. k = -2 Simplifying k = -2
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