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Simplifying 5T + -2(5 + 4T) = 3T + -8 5T + (5 * -2 + 4T * -2) = 3T + -8 5T + (-10 + -8T) = 3T + -8 Reorder the terms: -10 + 5T + -8T = 3T + -8 Combine like terms: 5T + -8T = -3T -10 + -3T = 3T + -8 Reorder the terms: -10 + -3T = -8 + 3T Solving -10 + -3T = -8 + 3T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-3T' to each side of the equation. -10 + -3T + -3T = -8 + 3T + -3T Combine like terms: -3T + -3T = -6T -10 + -6T = -8 + 3T + -3T Combine like terms: 3T + -3T = 0 -10 + -6T = -8 + 0 -10 + -6T = -8 Add '10' to each side of the equation. -10 + 10 + -6T = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -6T = -8 + 10 -6T = -8 + 10 Combine like terms: -8 + 10 = 2 -6T = 2 Divide each side by '-6'. T = -0.3333333333 Simplifying T = -0.3333333333
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