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Simplifying 5(T + -1) = 4(T + 3) + -1T Reorder the terms: 5(-1 + T) = 4(T + 3) + -1T (-1 * 5 + T * 5) = 4(T + 3) + -1T (-5 + 5T) = 4(T + 3) + -1T Reorder the terms: -5 + 5T = 4(3 + T) + -1T -5 + 5T = (3 * 4 + T * 4) + -1T -5 + 5T = (12 + 4T) + -1T Combine like terms: 4T + -1T = 3T -5 + 5T = 12 + 3T Solving -5 + 5T = 12 + 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. -5 + 5T + -3T = 12 + 3T + -3T Combine like terms: 5T + -3T = 2T -5 + 2T = 12 + 3T + -3T Combine like terms: 3T + -3T = 0 -5 + 2T = 12 + 0 -5 + 2T = 12 Add '5' to each side of the equation. -5 + 5 + 2T = 12 + 5 Combine like terms: -5 + 5 = 0 0 + 2T = 12 + 5 2T = 12 + 5 Combine like terms: 12 + 5 = 17 2T = 17 Divide each side by '2'. T = 8.5 Simplifying T = 8.5
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