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Simplifying 16 + -2k = 9 + -5k Solving 16 + -2k = 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. 16 + -2k + 5k = 9 + -5k + 5k Combine like terms: -2k + 5k = 3k 16 + 3k = 9 + -5k + 5k Combine like terms: -5k + 5k = 0 16 + 3k = 9 + 0 16 + 3k = 9 Add '-16' to each side of the equation. 16 + -16 + 3k = 9 + -16 Combine like terms: 16 + -16 = 0 0 + 3k = 9 + -16 3k = 9 + -16 Combine like terms: 9 + -16 = -7 3k = -7 Divide each side by '3'. k = -2.333333333 Simplifying k = -2.333333333
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