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Simplifying 7 + 12t + -2 = 8t + 85 + -6t Reorder the terms: 7 + -2 + 12t = 8t + 85 + -6t Combine like terms: 7 + -2 = 5 5 + 12t = 8t + 85 + -6t Reorder the terms: 5 + 12t = 85 + 8t + -6t Combine like terms: 8t + -6t = 2t 5 + 12t = 85 + 2t Solving 5 + 12t = 85 + 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 = 85 + 2t + -2t Combine like terms: 12t + -2t = 10t 5 + 10t = 85 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + 10t = 85 + 0 5 + 10t = 85 Add '-5' to each side of the equation. 5 + -5 + 10t = 85 + -5 Combine like terms: 5 + -5 = 0 0 + 10t = 85 + -5 10t = 85 + -5 Combine like terms: 85 + -5 = 80 10t = 80 Divide each side by '10'. t = 8 Simplifying t = 8
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