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Simplifying 0.75t + 1000 = -2t + 1200 Reorder the terms: 1000 + 0.75t = -2t + 1200 Reorder the terms: 1000 + 0.75t = 1200 + -2t Solving 1000 + 0.75t = 1200 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 1000 + 0.75t + 2t = 1200 + -2t + 2t Combine like terms: 0.75t + 2t = 2.75t 1000 + 2.75t = 1200 + -2t + 2t Combine like terms: -2t + 2t = 0 1000 + 2.75t = 1200 + 0 1000 + 2.75t = 1200 Add '-1000' to each side of the equation. 1000 + -1000 + 2.75t = 1200 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 2.75t = 1200 + -1000 2.75t = 1200 + -1000 Combine like terms: 1200 + -1000 = 200 2.75t = 200 Divide each side by '2.75'. t = 72.72727273 Simplifying t = 72.72727273
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