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Simplifying 2t(5 + a) = 15 (5 * 2t + a * 2t) = 15 Reorder the terms: (2at + 10t) = 15 (2at + 10t) = 15 Solving 2at + 10t = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10t' to each side of the equation. 2at + 10t + -10t = 15 + -10t Combine like terms: 10t + -10t = 0 2at + 0 = 15 + -10t 2at = 15 + -10t Divide each side by '2t'. a = 7.5t-1 + -5 Simplifying a = 7.5t-1 + -5 Reorder the terms: a = -5 + 7.5t-1
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