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Simplifying -5(T + -1) + 9T = 6T + -9 Reorder the terms: -5(-1 + T) + 9T = 6T + -9 (-1 * -5 + T * -5) + 9T = 6T + -9 (5 + -5T) + 9T = 6T + -9 Combine like terms: -5T + 9T = 4T 5 + 4T = 6T + -9 Reorder the terms: 5 + 4T = -9 + 6T Solving 5 + 4T = -9 + 6T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-6T' to each side of the equation. 5 + 4T + -6T = -9 + 6T + -6T Combine like terms: 4T + -6T = -2T 5 + -2T = -9 + 6T + -6T Combine like terms: 6T + -6T = 0 5 + -2T = -9 + 0 5 + -2T = -9 Add '-5' to each side of the equation. 5 + -5 + -2T = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2T = -9 + -5 -2T = -9 + -5 Combine like terms: -9 + -5 = -14 -2T = -14 Divide each side by '-2'. T = 7 Simplifying T = 7
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