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Simplifying 4(T + -2) + 8T = 4(3t + 5) + -8 Reorder the terms: 4(-2 + T) + 8T = 4(3t + 5) + -8 (-2 * 4 + T * 4) + 8T = 4(3t + 5) + -8 (-8 + 4T) + 8T = 4(3t + 5) + -8 Combine like terms: 4T + 8T = 12T -8 + 12T = 4(3t + 5) + -8 Reorder the terms: -8 + 12T = 4(5 + 3t) + -8 -8 + 12T = (5 * 4 + 3t * 4) + -8 -8 + 12T = (20 + 12t) + -8 Reorder the terms: -8 + 12T = 20 + -8 + 12t Combine like terms: 20 + -8 = 12 -8 + 12T = 12 + 12t Solving -8 + 12T = 12 + 12t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12T = 12 + 8 + 12t Combine like terms: -8 + 8 = 0 0 + 12T = 12 + 8 + 12t 12T = 12 + 8 + 12t Combine like terms: 12 + 8 = 20 12T = 20 + 12t Divide each side by '12'. T = 1.666666667 + t Simplifying T = 1.666666667 + t
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