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Simplifying -4(T + -2) + 9T = 3T + -2 Reorder the terms: -4(-2 + T) + 9T = 3T + -2 (-2 * -4 + T * -4) + 9T = 3T + -2 (8 + -4T) + 9T = 3T + -2 Combine like terms: -4T + 9T = 5T 8 + 5T = 3T + -2 Reorder the terms: 8 + 5T = -2 + 3T Solving 8 + 5T = -2 + 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. 8 + 5T + -3T = -2 + 3T + -3T Combine like terms: 5T + -3T = 2T 8 + 2T = -2 + 3T + -3T Combine like terms: 3T + -3T = 0 8 + 2T = -2 + 0 8 + 2T = -2 Add '-8' to each side of the equation. 8 + -8 + 2T = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 2T = -2 + -8 2T = -2 + -8 Combine like terms: -2 + -8 = -10 2T = -10 Divide each side by '2'. T = -5 Simplifying T = -5
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