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Simplifying 3[8 + -3T] = 5[2 + T] [8 * 3 + -3T * 3] = 5[2 + T] [24 + -9T] = 5[2 + T] 24 + -9T = [2 * 5 + T * 5] 24 + -9T = [10 + 5T] Solving 24 + -9T = 10 + 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. 24 + -9T + -5T = 10 + 5T + -5T Combine like terms: -9T + -5T = -14T 24 + -14T = 10 + 5T + -5T Combine like terms: 5T + -5T = 0 24 + -14T = 10 + 0 24 + -14T = 10 Add '-24' to each side of the equation. 24 + -24 + -14T = 10 + -24 Combine like terms: 24 + -24 = 0 0 + -14T = 10 + -24 -14T = 10 + -24 Combine like terms: 10 + -24 = -14 -14T = -14 Divide each side by '-14'. T = 1 Simplifying T = 1
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