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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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