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Simplifying T + 7 = 17 + -4T Reorder the terms: 7 + T = 17 + -4T Solving 7 + T = 17 + -4T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '4T' to each side of the equation. 7 + T + 4T = 17 + -4T + 4T Combine like terms: T + 4T = 5T 7 + 5T = 17 + -4T + 4T Combine like terms: -4T + 4T = 0 7 + 5T = 17 + 0 7 + 5T = 17 Add '-7' to each side of the equation. 7 + -7 + 5T = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 5T = 17 + -7 5T = 17 + -7 Combine like terms: 17 + -7 = 10 5T = 10 Divide each side by '5'. T = 2 Simplifying T = 2
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