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Simplifying 5T + 15 + -16t + 10 = -12t + 12 + -5 Reorder the terms: 15 + 10 + 5T + -16t = -12t + 12 + -5 Combine like terms: 15 + 10 = 25 25 + 5T + -16t = -12t + 12 + -5 Reorder the terms: 25 + 5T + -16t = 12 + -5 + -12t Combine like terms: 12 + -5 = 7 25 + 5T + -16t = 7 + -12t Solving 25 + 5T + -16t = 7 + -12t Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 5T + -25 + -16t = 7 + -25 + -12t Reorder the terms: 25 + -25 + 5T + -16t = 7 + -25 + -12t Combine like terms: 25 + -25 = 0 0 + 5T + -16t = 7 + -25 + -12t 5T + -16t = 7 + -25 + -12t Combine like terms: 7 + -25 = -18 5T + -16t = -18 + -12t Add '16t' to each side of the equation. 5T + -16t + 16t = -18 + -12t + 16t Combine like terms: -16t + 16t = 0 5T + 0 = -18 + -12t + 16t 5T = -18 + -12t + 16t Combine like terms: -12t + 16t = 4t 5T = -18 + 4t Divide each side by '5'. T = -3.6 + 0.8t Simplifying T = -3.6 + 0.8t
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