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Simplifying 8 + 12t + -5 = 6t + 23 + -4t Reorder the terms: 8 + -5 + 12t = 6t + 23 + -4t Combine like terms: 8 + -5 = 3 3 + 12t = 6t + 23 + -4t Reorder the terms: 3 + 12t = 23 + 6t + -4t Combine like terms: 6t + -4t = 2t 3 + 12t = 23 + 2t Solving 3 + 12t = 23 + 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. 3 + 12t + -2t = 23 + 2t + -2t Combine like terms: 12t + -2t = 10t 3 + 10t = 23 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 10t = 23 + 0 3 + 10t = 23 Add '-3' to each side of the equation. 3 + -3 + 10t = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 10t = 23 + -3 10t = 23 + -3 Combine like terms: 23 + -3 = 20 10t = 20 Divide each side by '10'. t = 2 Simplifying t = 2
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