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Simplifying -5k + 10k + 16 = 1 + 2k Reorder the terms: 16 + -5k + 10k = 1 + 2k Combine like terms: -5k + 10k = 5k 16 + 5k = 1 + 2k Solving 16 + 5k = 1 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 16 + 5k + -2k = 1 + 2k + -2k Combine like terms: 5k + -2k = 3k 16 + 3k = 1 + 2k + -2k Combine like terms: 2k + -2k = 0 16 + 3k = 1 + 0 16 + 3k = 1 Add '-16' to each side of the equation. 16 + -16 + 3k = 1 + -16 Combine like terms: 16 + -16 = 0 0 + 3k = 1 + -16 3k = 1 + -16 Combine like terms: 1 + -16 = -15 3k = -15 Divide each side by '3'. k = -5 Simplifying k = -5
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