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Simplifying 5(2t + 8v) + 3(2t + 6v) = 0 (2t * 5 + 8v * 5) + 3(2t + 6v) = 0 (10t + 40v) + 3(2t + 6v) = 0 10t + 40v + (2t * 3 + 6v * 3) = 0 10t + 40v + (6t + 18v) = 0 Reorder the terms: 10t + 6t + 40v + 18v = 0 Combine like terms: 10t + 6t = 16t 16t + 40v + 18v = 0 Combine like terms: 40v + 18v = 58v 16t + 58v = 0 Solving 16t + 58v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-58v' to each side of the equation. 16t + 58v + -58v = 0 + -58v Combine like terms: 58v + -58v = 0 16t + 0 = 0 + -58v 16t = 0 + -58v Remove the zero: 16t = -58v Divide each side by '16'. t = -3.625v Simplifying t = -3.625v
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