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Simplifying 9(T + -1) = 5(T + 2) + -1T Reorder the terms: 9(-1 + T) = 5(T + 2) + -1T (-1 * 9 + T * 9) = 5(T + 2) + -1T (-9 + 9T) = 5(T + 2) + -1T Reorder the terms: -9 + 9T = 5(2 + T) + -1T -9 + 9T = (2 * 5 + T * 5) + -1T -9 + 9T = (10 + 5T) + -1T Combine like terms: 5T + -1T = 4T -9 + 9T = 10 + 4T Solving -9 + 9T = 10 + 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. -9 + 9T + -4T = 10 + 4T + -4T Combine like terms: 9T + -4T = 5T -9 + 5T = 10 + 4T + -4T Combine like terms: 4T + -4T = 0 -9 + 5T = 10 + 0 -9 + 5T = 10 Add '9' to each side of the equation. -9 + 9 + 5T = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 5T = 10 + 9 5T = 10 + 9 Combine like terms: 10 + 9 = 19 5T = 19 Divide each side by '5'. T = 3.8 Simplifying T = 3.8
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