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Simplifying 16 + -2k = 5k + 9 Reorder the terms: 16 + -2k = 9 + 5k Solving 16 + -2k = 9 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 16 + -2k + -5k = 9 + 5k + -5k Combine like terms: -2k + -5k = -7k 16 + -7k = 9 + 5k + -5k Combine like terms: 5k + -5k = 0 16 + -7k = 9 + 0 16 + -7k = 9 Add '-16' to each side of the equation. 16 + -16 + -7k = 9 + -16 Combine like terms: 16 + -16 = 0 0 + -7k = 9 + -16 -7k = 9 + -16 Combine like terms: 9 + -16 = -7 -7k = -7 Divide each side by '-7'. k = 1 Simplifying k = 1
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