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Simplifying 1.8t + -7.5 + 2.1 = 0.7t + -9.1 Reorder the terms: -7.5 + 2.1 + 1.8t = 0.7t + -9.1 Combine like terms: -7.5 + 2.1 = -5.4 -5.4 + 1.8t = 0.7t + -9.1 Reorder the terms: -5.4 + 1.8t = -9.1 + 0.7t Solving -5.4 + 1.8t = -9.1 + 0.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.7t' to each side of the equation. -5.4 + 1.8t + -0.7t = -9.1 + 0.7t + -0.7t Combine like terms: 1.8t + -0.7t = 1.1t -5.4 + 1.1t = -9.1 + 0.7t + -0.7t Combine like terms: 0.7t + -0.7t = 0.0 -5.4 + 1.1t = -9.1 + 0.0 -5.4 + 1.1t = -9.1 Add '5.4' to each side of the equation. -5.4 + 5.4 + 1.1t = -9.1 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 1.1t = -9.1 + 5.4 1.1t = -9.1 + 5.4 Combine like terms: -9.1 + 5.4 = -3.7 1.1t = -3.7 Divide each side by '1.1'. t = -3.363636364 Simplifying t = -3.363636364
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