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Simplifying 3(T + -1) = 2(T + 3) + -1T Reorder the terms: 3(-1 + T) = 2(T + 3) + -1T (-1 * 3 + T * 3) = 2(T + 3) + -1T (-3 + 3T) = 2(T + 3) + -1T Reorder the terms: -3 + 3T = 2(3 + T) + -1T -3 + 3T = (3 * 2 + T * 2) + -1T -3 + 3T = (6 + 2T) + -1T Combine like terms: 2T + -1T = 1T -3 + 3T = 6 + 1T Solving -3 + 3T = 6 + 1T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-1T' to each side of the equation. -3 + 3T + -1T = 6 + 1T + -1T Combine like terms: 3T + -1T = 2T -3 + 2T = 6 + 1T + -1T Combine like terms: 1T + -1T = 0 -3 + 2T = 6 + 0 -3 + 2T = 6 Add '3' to each side of the equation. -3 + 3 + 2T = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 2T = 6 + 3 2T = 6 + 3 Combine like terms: 6 + 3 = 9 2T = 9 Divide each side by '2'. T = 4.5 Simplifying T = 4.5
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