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Simplifying 8t + 7 = 27 + -2t Reorder the terms: 7 + 8t = 27 + -2t Solving 7 + 8t = 27 + -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. 7 + 8t + 2t = 27 + -2t + 2t Combine like terms: 8t + 2t = 10t 7 + 10t = 27 + -2t + 2t Combine like terms: -2t + 2t = 0 7 + 10t = 27 + 0 7 + 10t = 27 Add '-7' to each side of the equation. 7 + -7 + 10t = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 10t = 27 + -7 10t = 27 + -7 Combine like terms: 27 + -7 = 20 10t = 20 Divide each side by '10'. t = 2 Simplifying t = 2
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