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Simplifying 7 + 12t + -5 = 7t + 92 + -5t Reorder the terms: 7 + -5 + 12t = 7t + 92 + -5t Combine like terms: 7 + -5 = 2 2 + 12t = 7t + 92 + -5t Reorder the terms: 2 + 12t = 92 + 7t + -5t Combine like terms: 7t + -5t = 2t 2 + 12t = 92 + 2t Solving 2 + 12t = 92 + 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. 2 + 12t + -2t = 92 + 2t + -2t Combine like terms: 12t + -2t = 10t 2 + 10t = 92 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + 10t = 92 + 0 2 + 10t = 92 Add '-2' to each side of the equation. 2 + -2 + 10t = 92 + -2 Combine like terms: 2 + -2 = 0 0 + 10t = 92 + -2 10t = 92 + -2 Combine like terms: 92 + -2 = 90 10t = 90 Divide each side by '10'. t = 9 Simplifying t = 9
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