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Simplifying t(3 + 4k) = 7s (3 * t + 4k * t) = 7s Reorder the terms: (4kt + 3t) = 7s (4kt + 3t) = 7s Solving 4kt + 3t = 7s Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3t' to each side of the equation. 4kt + 3t + -3t = 7s + -3t Combine like terms: 3t + -3t = 0 4kt + 0 = 7s + -3t 4kt = 7s + -3t Divide each side by '4t'. k = 1.75st-1 + -0.75 Simplifying k = 1.75st-1 + -0.75 Reorder the terms: k = -0.75 + 1.75st-1
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