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Simplifying T + -1(2T + 1) = 8 + -1(3T + 3) Reorder the terms: T + -1(1 + 2T) = 8 + -1(3T + 3) T + (1 * -1 + 2T * -1) = 8 + -1(3T + 3) T + (-1 + -2T) = 8 + -1(3T + 3) Reorder the terms: -1 + T + -2T = 8 + -1(3T + 3) Combine like terms: T + -2T = -1T -1 + -1T = 8 + -1(3T + 3) Reorder the terms: -1 + -1T = 8 + -1(3 + 3T) -1 + -1T = 8 + (3 * -1 + 3T * -1) -1 + -1T = 8 + (-3 + -3T) Combine like terms: 8 + -3 = 5 -1 + -1T = 5 + -3T Solving -1 + -1T = 5 + -3T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '3T' to each side of the equation. -1 + -1T + 3T = 5 + -3T + 3T Combine like terms: -1T + 3T = 2T -1 + 2T = 5 + -3T + 3T Combine like terms: -3T + 3T = 0 -1 + 2T = 5 + 0 -1 + 2T = 5 Add '1' to each side of the equation. -1 + 1 + 2T = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 2T = 5 + 1 2T = 5 + 1 Combine like terms: 5 + 1 = 6 2T = 6 Divide each side by '2'. T = 3 Simplifying T = 3
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