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Simplifying -7k + 1 = 9k Reorder the terms: 1 + -7k = 9k Solving 1 + -7k = 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. 1 + -7k + -9k = 9k + -9k Combine like terms: -7k + -9k = -16k 1 + -16k = 9k + -9k Combine like terms: 9k + -9k = 0 1 + -16k = 0 Add '-1' to each side of the equation. 1 + -1 + -16k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -16k = 0 + -1 -16k = 0 + -1 Combine like terms: 0 + -1 = -1 -16k = -1 Divide each side by '-16'. k = 0.0625 Simplifying k = 0.0625
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