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Simplifying -16 = k + 2 + 5k Reorder the terms: -16 = 2 + k + 5k Combine like terms: k + 5k = 6k -16 = 2 + 6k Solving -16 = 2 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -16 + -6k = 2 + 6k + -6k Combine like terms: 6k + -6k = 0 -16 + -6k = 2 + 0 -16 + -6k = 2 Add '16' to each side of the equation. -16 + 16 + -6k = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -6k = 2 + 16 -6k = 2 + 16 Combine like terms: 2 + 16 = 18 -6k = 18 Divide each side by '-6'. k = -3 Simplifying k = -3
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