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Simplifying 9t + 81 + 0.2t = 9t + -27 + -45 Reorder the terms: 81 + 9t + 0.2t = 9t + -27 + -45 Combine like terms: 9t + 0.2t = 9.2t 81 + 9.2t = 9t + -27 + -45 Reorder the terms: 81 + 9.2t = -27 + -45 + 9t Combine like terms: -27 + -45 = -72 81 + 9.2t = -72 + 9t Solving 81 + 9.2t = -72 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 81 + 9.2t + -9t = -72 + 9t + -9t Combine like terms: 9.2t + -9t = 0.2t 81 + 0.2t = -72 + 9t + -9t Combine like terms: 9t + -9t = 0 81 + 0.2t = -72 + 0 81 + 0.2t = -72 Add '-81' to each side of the equation. 81 + -81 + 0.2t = -72 + -81 Combine like terms: 81 + -81 = 0 0 + 0.2t = -72 + -81 0.2t = -72 + -81 Combine like terms: -72 + -81 = -153 0.2t = -153 Divide each side by '0.2'. t = -765 Simplifying t = -765
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