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Simplifying 500t = 150(t + 3) Reorder the terms: 500t = 150(3 + t) 500t = (3 * 150 + t * 150) 500t = (450 + 150t) Solving 500t = 450 + 150t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-150t' to each side of the equation. 500t + -150t = 450 + 150t + -150t Combine like terms: 500t + -150t = 350t 350t = 450 + 150t + -150t Combine like terms: 150t + -150t = 0 350t = 450 + 0 350t = 450 Divide each side by '350'. t = 1.285714286 Simplifying t = 1.285714286
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