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Simplifying 12t + 13t + 12 = -5t + 72 Reorder the terms: 12 + 12t + 13t = -5t + 72 Combine like terms: 12t + 13t = 25t 12 + 25t = -5t + 72 Reorder the terms: 12 + 25t = 72 + -5t Solving 12 + 25t = 72 + -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. 12 + 25t + 5t = 72 + -5t + 5t Combine like terms: 25t + 5t = 30t 12 + 30t = 72 + -5t + 5t Combine like terms: -5t + 5t = 0 12 + 30t = 72 + 0 12 + 30t = 72 Add '-12' to each side of the equation. 12 + -12 + 30t = 72 + -12 Combine like terms: 12 + -12 = 0 0 + 30t = 72 + -12 30t = 72 + -12 Combine like terms: 72 + -12 = 60 30t = 60 Divide each side by '30'. t = 2 Simplifying t = 2
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