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Simplifying -16k + -16 = -14k + -9k + 5 Reorder the terms: -16 + -16k = -14k + -9k + 5 Reorder the terms: -16 + -16k = 5 + -14k + -9k Combine like terms: -14k + -9k = -23k -16 + -16k = 5 + -23k Solving -16 + -16k = 5 + -23k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '23k' to each side of the equation. -16 + -16k + 23k = 5 + -23k + 23k Combine like terms: -16k + 23k = 7k -16 + 7k = 5 + -23k + 23k Combine like terms: -23k + 23k = 0 -16 + 7k = 5 + 0 -16 + 7k = 5 Add '16' to each side of the equation. -16 + 16 + 7k = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 7k = 5 + 16 7k = 5 + 16 Combine like terms: 5 + 16 = 21 7k = 21 Divide each side by '7'. k = 3 Simplifying k = 3
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