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Simplifying -3(T + -3) + 6T = 5T + -5 Reorder the terms: -3(-3 + T) + 6T = 5T + -5 (-3 * -3 + T * -3) + 6T = 5T + -5 (9 + -3T) + 6T = 5T + -5 Combine like terms: -3T + 6T = 3T 9 + 3T = 5T + -5 Reorder the terms: 9 + 3T = -5 + 5T Solving 9 + 3T = -5 + 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 + 3T + -5T = -5 + 5T + -5T Combine like terms: 3T + -5T = -2T 9 + -2T = -5 + 5T + -5T Combine like terms: 5T + -5T = 0 9 + -2T = -5 + 0 9 + -2T = -5 Add '-9' to each side of the equation. 9 + -9 + -2T = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -2T = -5 + -9 -2T = -5 + -9 Combine like terms: -5 + -9 = -14 -2T = -14 Divide each side by '-2'. T = 7 Simplifying T = 7
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