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Simplifying 8 + 12t + -3 = 6t + 25 + -4t Reorder the terms: 8 + -3 + 12t = 6t + 25 + -4t Combine like terms: 8 + -3 = 5 5 + 12t = 6t + 25 + -4t Reorder the terms: 5 + 12t = 25 + 6t + -4t Combine like terms: 6t + -4t = 2t 5 + 12t = 25 + 2t Solving 5 + 12t = 25 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 5 + 12t + -2t = 25 + 2t + -2t Combine like terms: 12t + -2t = 10t 5 + 10t = 25 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + 10t = 25 + 0 5 + 10t = 25 Add '-5' to each side of the equation. 5 + -5 + 10t = 25 + -5 Combine like terms: 5 + -5 = 0 0 + 10t = 25 + -5 10t = 25 + -5 Combine like terms: 25 + -5 = 20 10t = 20 Divide each side by '10'. t = 2 Simplifying t = 2
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