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Simplifying 10k + 9 = 15k + -16 Reorder the terms: 9 + 10k = 15k + -16 Reorder the terms: 9 + 10k = -16 + 15k Solving 9 + 10k = -16 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 9 + 10k + -15k = -16 + 15k + -15k Combine like terms: 10k + -15k = -5k 9 + -5k = -16 + 15k + -15k Combine like terms: 15k + -15k = 0 9 + -5k = -16 + 0 9 + -5k = -16 Add '-9' to each side of the equation. 9 + -9 + -5k = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -5k = -16 + -9 -5k = -16 + -9 Combine like terms: -16 + -9 = -25 -5k = -25 Divide each side by '-5'. k = 5 Simplifying k = 5
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