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Simplifying 2k + 5z + -2 + -8k + -2z + 6 = 0 Reorder the terms: -2 + 6 + 2k + -8k + 5z + -2z = 0 Combine like terms: -2 + 6 = 4 4 + 2k + -8k + 5z + -2z = 0 Combine like terms: 2k + -8k = -6k 4 + -6k + 5z + -2z = 0 Combine like terms: 5z + -2z = 3z 4 + -6k + 3z = 0 Solving 4 + -6k + 3z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -6k + -4 + 3z = 0 + -4 Reorder the terms: 4 + -4 + -6k + 3z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6k + 3z = 0 + -4 -6k + 3z = 0 + -4 Combine like terms: 0 + -4 = -4 -6k + 3z = -4 Add '-3z' to each side of the equation. -6k + 3z + -3z = -4 + -3z Combine like terms: 3z + -3z = 0 -6k + 0 = -4 + -3z -6k = -4 + -3z Divide each side by '-6'. k = 0.6666666667 + 0.5z Simplifying k = 0.6666666667 + 0.5z
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