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Simplifying 2(5T + -7) = 13T + 8 Reorder the terms: 2(-7 + 5T) = 13T + 8 (-7 * 2 + 5T * 2) = 13T + 8 (-14 + 10T) = 13T + 8 Reorder the terms: -14 + 10T = 8 + 13T Solving -14 + 10T = 8 + 13T Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-13T' to each side of the equation. -14 + 10T + -13T = 8 + 13T + -13T Combine like terms: 10T + -13T = -3T -14 + -3T = 8 + 13T + -13T Combine like terms: 13T + -13T = 0 -14 + -3T = 8 + 0 -14 + -3T = 8 Add '14' to each side of the equation. -14 + 14 + -3T = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -3T = 8 + 14 -3T = 8 + 14 Combine like terms: 8 + 14 = 22 -3T = 22 Divide each side by '-3'. T = -7.333333333 Simplifying T = -7.333333333
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