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Simplifying 7(T + -1) = 5(T + 2) + -1T Reorder the terms: 7(-1 + T) = 5(T + 2) + -1T (-1 * 7 + T * 7) = 5(T + 2) + -1T (-7 + 7T) = 5(T + 2) + -1T Reorder the terms: -7 + 7T = 5(2 + T) + -1T -7 + 7T = (2 * 5 + T * 5) + -1T -7 + 7T = (10 + 5T) + -1T Combine like terms: 5T + -1T = 4T -7 + 7T = 10 + 4T Solving -7 + 7T = 10 + 4T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-4T' to each side of the equation. -7 + 7T + -4T = 10 + 4T + -4T Combine like terms: 7T + -4T = 3T -7 + 3T = 10 + 4T + -4T Combine like terms: 4T + -4T = 0 -7 + 3T = 10 + 0 -7 + 3T = 10 Add '7' to each side of the equation. -7 + 7 + 3T = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 3T = 10 + 7 3T = 10 + 7 Combine like terms: 10 + 7 = 17 3T = 17 Divide each side by '3'. T = 5.666666667 Simplifying T = 5.666666667
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