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Simplifying 2t + (T + 0.5) + T = 7.5 Reorder the terms: 2t + (0.5 + T) + T = 7.5 Remove parenthesis around (0.5 + T) 2t + 0.5 + T + T = 7.5 Reorder the terms: 0.5 + T + T + 2t = 7.5 Combine like terms: T + T = 2T 0.5 + 2T + 2t = 7.5 Solving 0.5 + 2T + 2t = 7.5 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + 2T + -0.5 + 2t = 7.5 + -0.5 Reorder the terms: 0.5 + -0.5 + 2T + 2t = 7.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2T + 2t = 7.5 + -0.5 2T + 2t = 7.5 + -0.5 Combine like terms: 7.5 + -0.5 = 7 2T + 2t = 7 Add '-2t' to each side of the equation. 2T + 2t + -2t = 7 + -2t Combine like terms: 2t + -2t = 0 2T + 0 = 7 + -2t 2T = 7 + -2t Divide each side by '2'. T = 3.5 + -1t Simplifying T = 3.5 + -1t
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