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Simplifying 9k + 16 + 2k = 15k + 8(2) + -6k Reorder the terms: 16 + 9k + 2k = 15k + 8(2) + -6k Combine like terms: 9k + 2k = 11k 16 + 11k = 15k + 8(2) + -6k Multiply 8 * 2 16 + 11k = 15k + 16 + -6k Reorder the terms: 16 + 11k = 16 + 15k + -6k Combine like terms: 15k + -6k = 9k 16 + 11k = 16 + 9k Add '-16' to each side of the equation. 16 + -16 + 11k = 16 + -16 + 9k Combine like terms: 16 + -16 = 0 0 + 11k = 16 + -16 + 9k 11k = 16 + -16 + 9k Combine like terms: 16 + -16 = 0 11k = 0 + 9k 11k = 9k Solving 11k = 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 11k + -9k = 9k + -9k Combine like terms: 11k + -9k = 2k 2k = 9k + -9k Combine like terms: 9k + -9k = 0 2k = 0 Divide each side by '2'. k = 0 Simplifying k = 0
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