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Simplifying 9T + -9 = 6(T + 2) + -1T Reorder the terms: -9 + 9T = 6(T + 2) + -1T Reorder the terms: -9 + 9T = 6(2 + T) + -1T -9 + 9T = (2 * 6 + T * 6) + -1T -9 + 9T = (12 + 6T) + -1T Combine like terms: 6T + -1T = 5T -9 + 9T = 12 + 5T Solving -9 + 9T = 12 + 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 = 12 + 5T + -5T Combine like terms: 9T + -5T = 4T -9 + 4T = 12 + 5T + -5T Combine like terms: 5T + -5T = 0 -9 + 4T = 12 + 0 -9 + 4T = 12 Add '9' to each side of the equation. -9 + 9 + 4T = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 4T = 12 + 9 4T = 12 + 9 Combine like terms: 12 + 9 = 21 4T = 21 Divide each side by '4'. T = 5.25 Simplifying T = 5.25
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