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Simplifying -8.5t + 15 = 9.7t + 43.7 Reorder the terms: 15 + -8.5t = 9.7t + 43.7 Reorder the terms: 15 + -8.5t = 43.7 + 9.7t Solving 15 + -8.5t = 43.7 + 9.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9.7t' to each side of the equation. 15 + -8.5t + -9.7t = 43.7 + 9.7t + -9.7t Combine like terms: -8.5t + -9.7t = -18.2t 15 + -18.2t = 43.7 + 9.7t + -9.7t Combine like terms: 9.7t + -9.7t = 0.0 15 + -18.2t = 43.7 + 0.0 15 + -18.2t = 43.7 Add '-15' to each side of the equation. 15 + -15 + -18.2t = 43.7 + -15 Combine like terms: 15 + -15 = 0 0 + -18.2t = 43.7 + -15 -18.2t = 43.7 + -15 Combine like terms: 43.7 + -15 = 28.7 -18.2t = 28.7 Divide each side by '-18.2'. t = -1.576923077 Simplifying t = -1.576923077
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