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Simplifying t2 + kt + 12 = 0 Reorder the terms: 12 + kt + t2 = 0 Solving 12 + kt + t2 = 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 + kt + -12 + t2 = 0 + -12 Reorder the terms: 12 + -12 + kt + t2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + kt + t2 = 0 + -12 kt + t2 = 0 + -12 Combine like terms: 0 + -12 = -12 kt + t2 = -12 Add '-1t2' to each side of the equation. kt + t2 + -1t2 = -12 + -1t2 Combine like terms: t2 + -1t2 = 0 kt + 0 = -12 + -1t2 kt = -12 + -1t2 Divide each side by 't'. k = -12t-1 + -1t Simplifying k = -12t-1 + -1t
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