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Simplifying (z2 + kz + 12) = 0 Reorder the terms: (12 + kz + z2) = 0 Remove parenthesis around (12 + kz + z2) 12 + kz + z2 = 0 Solving 12 + kz + z2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + kz + -12 + z2 = 0 + -12 Reorder the terms: 12 + -12 + kz + z2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + kz + z2 = 0 + -12 kz + z2 = 0 + -12 Combine like terms: 0 + -12 = -12 kz + z2 = -12 Add '-1z2' to each side of the equation. kz + z2 + -1z2 = -12 + -1z2 Combine like terms: z2 + -1z2 = 0 kz + 0 = -12 + -1z2 kz = -12 + -1z2 Divide each side by 'z'. k = -12z-1 + -1z Simplifying k = -12z-1 + -1z
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