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Simplifying 4(3T + 5) + -8t = 34 Reorder the terms: 4(5 + 3T) + -8t = 34 (5 * 4 + 3T * 4) + -8t = 34 (20 + 12T) + -8t = 34 Solving 20 + 12T + -8t = 34 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 12T + -20 + -8t = 34 + -20 Reorder the terms: 20 + -20 + 12T + -8t = 34 + -20 Combine like terms: 20 + -20 = 0 0 + 12T + -8t = 34 + -20 12T + -8t = 34 + -20 Combine like terms: 34 + -20 = 14 12T + -8t = 14 Add '8t' to each side of the equation. 12T + -8t + 8t = 14 + 8t Combine like terms: -8t + 8t = 0 12T + 0 = 14 + 8t 12T = 14 + 8t Divide each side by '12'. T = 1.166666667 + 0.6666666667t Simplifying T = 1.166666667 + 0.6666666667t
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