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Simplifying 500t = 200(t + 2) Reorder the terms: 500t = 200(2 + t) 500t = (2 * 200 + t * 200) 500t = (400 + 200t) Solving 500t = 400 + 200t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-200t' to each side of the equation. 500t + -200t = 400 + 200t + -200t Combine like terms: 500t + -200t = 300t 300t = 400 + 200t + -200t Combine like terms: 200t + -200t = 0 300t = 400 + 0 300t = 400 Divide each side by '300'. t = 1.333333333 Simplifying t = 1.333333333
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