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Simplifying 16k + -7 = 9k + 35 Reorder the terms: -7 + 16k = 9k + 35 Reorder the terms: -7 + 16k = 35 + 9k Solving -7 + 16k = 35 + 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. -7 + 16k + -9k = 35 + 9k + -9k Combine like terms: 16k + -9k = 7k -7 + 7k = 35 + 9k + -9k Combine like terms: 9k + -9k = 0 -7 + 7k = 35 + 0 -7 + 7k = 35 Add '7' to each side of the equation. -7 + 7 + 7k = 35 + 7 Combine like terms: -7 + 7 = 0 0 + 7k = 35 + 7 7k = 35 + 7 Combine like terms: 35 + 7 = 42 7k = 42 Divide each side by '7'. k = 6 Simplifying k = 6
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