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Simplifying -7k + 10 = 9k + 10z Reorder the terms: 10 + -7k = 9k + 10z Solving 10 + -7k = 9k + 10z 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. 10 + -7k + -9k = 9k + -9k + 10z Combine like terms: -7k + -9k = -16k 10 + -16k = 9k + -9k + 10z Combine like terms: 9k + -9k = 0 10 + -16k = 0 + 10z 10 + -16k = 10z Add '-10' to each side of the equation. 10 + -10 + -16k = -10 + 10z Combine like terms: 10 + -10 = 0 0 + -16k = -10 + 10z -16k = -10 + 10z Divide each side by '-16'. k = 0.625 + -0.625z Simplifying k = 0.625 + -0.625z
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