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Simplifying T + 3 + 2T = 2(T + 6) Reorder the terms: 3 + T + 2T = 2(T + 6) Combine like terms: T + 2T = 3T 3 + 3T = 2(T + 6) Reorder the terms: 3 + 3T = 2(6 + T) 3 + 3T = (6 * 2 + T * 2) 3 + 3T = (12 + 2T) Solving 3 + 3T = 12 + 2T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-2T' to each side of the equation. 3 + 3T + -2T = 12 + 2T + -2T Combine like terms: 3T + -2T = 1T 3 + 1T = 12 + 2T + -2T Combine like terms: 2T + -2T = 0 3 + 1T = 12 + 0 3 + 1T = 12 Add '-3' to each side of the equation. 3 + -3 + 1T = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1T = 12 + -3 1T = 12 + -3 Combine like terms: 12 + -3 = 9 1T = 9 Divide each side by '1'. T = 9 Simplifying T = 9
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