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Simplifying 14k + 4k + k + -11k + -6k + -2 = 16 Reorder the terms: -2 + 14k + 4k + k + -11k + -6k = 16 Combine like terms: 14k + 4k = 18k -2 + 18k + k + -11k + -6k = 16 Combine like terms: 18k + k = 19k -2 + 19k + -11k + -6k = 16 Combine like terms: 19k + -11k = 8k -2 + 8k + -6k = 16 Combine like terms: 8k + -6k = 2k -2 + 2k = 16 Solving -2 + 2k = 16 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2k = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 2k = 16 + 2 2k = 16 + 2 Combine like terms: 16 + 2 = 18 2k = 18 Divide each side by '2'. k = 9 Simplifying k = 9
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