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Simplifying 35 + 2k = 9k + -16 Reorder the terms: 35 + 2k = -16 + 9k Solving 35 + 2k = -16 + 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. 35 + 2k + -9k = -16 + 9k + -9k Combine like terms: 2k + -9k = -7k 35 + -7k = -16 + 9k + -9k Combine like terms: 9k + -9k = 0 35 + -7k = -16 + 0 35 + -7k = -16 Add '-35' to each side of the equation. 35 + -35 + -7k = -16 + -35 Combine like terms: 35 + -35 = 0 0 + -7k = -16 + -35 -7k = -16 + -35 Combine like terms: -16 + -35 = -51 -7k = -51 Divide each side by '-7'. k = 7.285714286 Simplifying k = 7.285714286
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