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Simplifying 500 = 200(t + 2) Reorder the terms: 500 = 200(2 + t) 500 = (2 * 200 + t * 200) 500 = (400 + 200t) Solving 500 = 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. 500 + -200t = 400 + 200t + -200t Combine like terms: 200t + -200t = 0 500 + -200t = 400 + 0 500 + -200t = 400 Add '-500' to each side of the equation. 500 + -500 + -200t = 400 + -500 Combine like terms: 500 + -500 = 0 0 + -200t = 400 + -500 -200t = 400 + -500 Combine like terms: 400 + -500 = -100 -200t = -100 Divide each side by '-200'. t = 0.5 Simplifying t = 0.5
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