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Simplifying -25 + 13z + 13k + -5z + -4k + 19 = 0 Reorder the terms: -25 + 19 + 13k + -4k + 13z + -5z = 0 Combine like terms: -25 + 19 = -6 -6 + 13k + -4k + 13z + -5z = 0 Combine like terms: 13k + -4k = 9k -6 + 9k + 13z + -5z = 0 Combine like terms: 13z + -5z = 8z -6 + 9k + 8z = 0 Solving -6 + 9k + 8z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 9k + 6 + 8z = 0 + 6 Reorder the terms: -6 + 6 + 9k + 8z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9k + 8z = 0 + 6 9k + 8z = 0 + 6 Combine like terms: 0 + 6 = 6 9k + 8z = 6 Add '-8z' to each side of the equation. 9k + 8z + -8z = 6 + -8z Combine like terms: 8z + -8z = 0 9k + 0 = 6 + -8z 9k = 6 + -8z Divide each side by '9'. k = 0.6666666667 + -0.8888888889z Simplifying k = 0.6666666667 + -0.8888888889z
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