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Simplifying 6k + -5 + 9z + -3k + 8z = 0 Reorder the terms: -5 + 6k + -3k + 9z + 8z = 0 Combine like terms: 6k + -3k = 3k -5 + 3k + 9z + 8z = 0 Combine like terms: 9z + 8z = 17z -5 + 3k + 17z = 0 Solving -5 + 3k + 17z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3k + 5 + 17z = 0 + 5 Reorder the terms: -5 + 5 + 3k + 17z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3k + 17z = 0 + 5 3k + 17z = 0 + 5 Combine like terms: 0 + 5 = 5 3k + 17z = 5 Add '-17z' to each side of the equation. 3k + 17z + -17z = 5 + -17z Combine like terms: 17z + -17z = 0 3k + 0 = 5 + -17z 3k = 5 + -17z Divide each side by '3'. k = 1.666666667 + -5.666666667z Simplifying k = 1.666666667 + -5.666666667z
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