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Simplifying 80T = 45(T + 7) Reorder the terms: 80T = 45(7 + T) 80T = (7 * 45 + T * 45) 80T = (315 + 45T) Solving 80T = 315 + 45T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-45T' to each side of the equation. 80T + -45T = 315 + 45T + -45T Combine like terms: 80T + -45T = 35T 35T = 315 + 45T + -45T Combine like terms: 45T + -45T = 0 35T = 315 + 0 35T = 315 Divide each side by '35'. T = 9 Simplifying T = 9
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