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Simplifying 2T + 9 = 5T + -7 Reorder the terms: 9 + 2T = 5T + -7 Reorder the terms: 9 + 2T = -7 + 5T Solving 9 + 2T = -7 + 5T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-5T' to each side of the equation. 9 + 2T + -5T = -7 + 5T + -5T Combine like terms: 2T + -5T = -3T 9 + -3T = -7 + 5T + -5T Combine like terms: 5T + -5T = 0 9 + -3T = -7 + 0 9 + -3T = -7 Add '-9' to each side of the equation. 9 + -9 + -3T = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -3T = -7 + -9 -3T = -7 + -9 Combine like terms: -7 + -9 = -16 -3T = -16 Divide each side by '-3'. T = 5.333333333 Simplifying T = 5.333333333
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