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Simplifying -7k + 19 = 9k + 18 Reorder the terms: 19 + -7k = 9k + 18 Reorder the terms: 19 + -7k = 18 + 9k Solving 19 + -7k = 18 + 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. 19 + -7k + -9k = 18 + 9k + -9k Combine like terms: -7k + -9k = -16k 19 + -16k = 18 + 9k + -9k Combine like terms: 9k + -9k = 0 19 + -16k = 18 + 0 19 + -16k = 18 Add '-19' to each side of the equation. 19 + -19 + -16k = 18 + -19 Combine like terms: 19 + -19 = 0 0 + -16k = 18 + -19 -16k = 18 + -19 Combine like terms: 18 + -19 = -1 -16k = -1 Divide each side by '-16'. k = 0.0625 Simplifying k = 0.0625
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