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Simplifying 9(T + -1) = 6(T + 3) + -1T Reorder the terms: 9(-1 + T) = 6(T + 3) + -1T (-1 * 9 + T * 9) = 6(T + 3) + -1T (-9 + 9T) = 6(T + 3) + -1T Reorder the terms: -9 + 9T = 6(3 + T) + -1T -9 + 9T = (3 * 6 + T * 6) + -1T -9 + 9T = (18 + 6T) + -1T Combine like terms: 6T + -1T = 5T -9 + 9T = 18 + 5T Solving -9 + 9T = 18 + 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 + 9T + -5T = 18 + 5T + -5T Combine like terms: 9T + -5T = 4T -9 + 4T = 18 + 5T + -5T Combine like terms: 5T + -5T = 0 -9 + 4T = 18 + 0 -9 + 4T = 18 Add '9' to each side of the equation. -9 + 9 + 4T = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 4T = 18 + 9 4T = 18 + 9 Combine like terms: 18 + 9 = 27 4T = 27 Divide each side by '4'. T = 6.75 Simplifying T = 6.75
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