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Simplifying -2(T + -2) + 5T = 7T + -9 Reorder the terms: -2(-2 + T) + 5T = 7T + -9 (-2 * -2 + T * -2) + 5T = 7T + -9 (4 + -2T) + 5T = 7T + -9 Combine like terms: -2T + 5T = 3T 4 + 3T = 7T + -9 Reorder the terms: 4 + 3T = -9 + 7T Solving 4 + 3T = -9 + 7T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-7T' to each side of the equation. 4 + 3T + -7T = -9 + 7T + -7T Combine like terms: 3T + -7T = -4T 4 + -4T = -9 + 7T + -7T Combine like terms: 7T + -7T = 0 4 + -4T = -9 + 0 4 + -4T = -9 Add '-4' to each side of the equation. 4 + -4 + -4T = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -4T = -9 + -4 -4T = -9 + -4 Combine like terms: -9 + -4 = -13 -4T = -13 Divide each side by '-4'. T = 3.25 Simplifying T = 3.25
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