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Simplifying -9 + -1k = 9 + 5k Solving -9 + -1k = 9 + 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. -9 + -1k + -5k = 9 + 5k + -5k Combine like terms: -1k + -5k = -6k -9 + -6k = 9 + 5k + -5k Combine like terms: 5k + -5k = 0 -9 + -6k = 9 + 0 -9 + -6k = 9 Add '9' to each side of the equation. -9 + 9 + -6k = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -6k = 9 + 9 -6k = 9 + 9 Combine like terms: 9 + 9 = 18 -6k = 18 Divide each side by '-6'. k = -3 Simplifying k = -3
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