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Simplifying 8(T + -1) = 6(T + 2) + -1T Reorder the terms: 8(-1 + T) = 6(T + 2) + -1T (-1 * 8 + T * 8) = 6(T + 2) + -1T (-8 + 8T) = 6(T + 2) + -1T Reorder the terms: -8 + 8T = 6(2 + T) + -1T -8 + 8T = (2 * 6 + T * 6) + -1T -8 + 8T = (12 + 6T) + -1T Combine like terms: 6T + -1T = 5T -8 + 8T = 12 + 5T Solving -8 + 8T = 12 + 5T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-5T' to each side of the equation. -8 + 8T + -5T = 12 + 5T + -5T Combine like terms: 8T + -5T = 3T -8 + 3T = 12 + 5T + -5T Combine like terms: 5T + -5T = 0 -8 + 3T = 12 + 0 -8 + 3T = 12 Add '8' to each side of the equation. -8 + 8 + 3T = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 3T = 12 + 8 3T = 12 + 8 Combine like terms: 12 + 8 = 20 3T = 20 Divide each side by '3'. T = 6.666666667 Simplifying T = 6.666666667
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