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Simplifying 1.4T + -0.4(T + -3.1) = 5.8 Reorder the terms: 1.4T + -0.4(-3.1 + T) = 5.8 1.4T + (-3.1 * -0.4 + T * -0.4) = 5.8 1.4T + (1.24 + -0.4T) = 5.8 Reorder the terms: 1.24 + 1.4T + -0.4T = 5.8 Combine like terms: 1.4T + -0.4T = 1T 1.24 + 1T = 5.8 Solving 1.24 + 1T = 5.8 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-1.24' to each side of the equation. 1.24 + -1.24 + 1T = 5.8 + -1.24 Combine like terms: 1.24 + -1.24 = 0.00 0.00 + 1T = 5.8 + -1.24 1T = 5.8 + -1.24 Combine like terms: 5.8 + -1.24 = 4.56 1T = 4.56 Divide each side by '1'. T = 4.56 Simplifying T = 4.56
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