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Simplifying 1 + 5z + 9k + -2z + -2k + -10 = 0 Reorder the terms: 1 + -10 + 9k + -2k + 5z + -2z = 0 Combine like terms: 1 + -10 = -9 -9 + 9k + -2k + 5z + -2z = 0 Combine like terms: 9k + -2k = 7k -9 + 7k + 5z + -2z = 0 Combine like terms: 5z + -2z = 3z -9 + 7k + 3z = 0 Solving -9 + 7k + 3z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 7k + 9 + 3z = 0 + 9 Reorder the terms: -9 + 9 + 7k + 3z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7k + 3z = 0 + 9 7k + 3z = 0 + 9 Combine like terms: 0 + 9 = 9 7k + 3z = 9 Add '-3z' to each side of the equation. 7k + 3z + -3z = 9 + -3z Combine like terms: 3z + -3z = 0 7k + 0 = 9 + -3z 7k = 9 + -3z Divide each side by '7'. k = 1.285714286 + -0.4285714286z Simplifying k = 1.285714286 + -0.4285714286z
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