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Simplifying 3T + 7 = -2T + -8 Reorder the terms: 7 + 3T = -2T + -8 Reorder the terms: 7 + 3T = -8 + -2T Solving 7 + 3T = -8 + -2T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '2T' to each side of the equation. 7 + 3T + 2T = -8 + -2T + 2T Combine like terms: 3T + 2T = 5T 7 + 5T = -8 + -2T + 2T Combine like terms: -2T + 2T = 0 7 + 5T = -8 + 0 7 + 5T = -8 Add '-7' to each side of the equation. 7 + -7 + 5T = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 5T = -8 + -7 5T = -8 + -7 Combine like terms: -8 + -7 = -15 5T = -15 Divide each side by '5'. T = -3 Simplifying T = -3
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