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Simplifying -3 + 11z + 10k + -4z + -2k + 9 = 0 Reorder the terms: -3 + 9 + 10k + -2k + 11z + -4z = 0 Combine like terms: -3 + 9 = 6 6 + 10k + -2k + 11z + -4z = 0 Combine like terms: 10k + -2k = 8k 6 + 8k + 11z + -4z = 0 Combine like terms: 11z + -4z = 7z 6 + 8k + 7z = 0 Solving 6 + 8k + 7z = 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 + 8k + -6 + 7z = 0 + -6 Reorder the terms: 6 + -6 + 8k + 7z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 8k + 7z = 0 + -6 8k + 7z = 0 + -6 Combine like terms: 0 + -6 = -6 8k + 7z = -6 Add '-7z' to each side of the equation. 8k + 7z + -7z = -6 + -7z Combine like terms: 7z + -7z = 0 8k + 0 = -6 + -7z 8k = -6 + -7z Divide each side by '8'. k = -0.75 + -0.875z Simplifying k = -0.75 + -0.875z
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