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Simplifying 5.5 + 2.1t + -6.4 = 0.1 + 4.1 + -8t Reorder the terms: 5.5 + -6.4 + 2.1t = 0.1 + 4.1 + -8t Combine like terms: 5.5 + -6.4 = -0.9 -0.9 + 2.1t = 0.1 + 4.1 + -8t Combine like terms: 0.1 + 4.1 = 4.2 -0.9 + 2.1t = 4.2 + -8t Solving -0.9 + 2.1t = 4.2 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. -0.9 + 2.1t + 8t = 4.2 + -8t + 8t Combine like terms: 2.1t + 8t = 10.1t -0.9 + 10.1t = 4.2 + -8t + 8t Combine like terms: -8t + 8t = 0 -0.9 + 10.1t = 4.2 + 0 -0.9 + 10.1t = 4.2 Add '0.9' to each side of the equation. -0.9 + 0.9 + 10.1t = 4.2 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 10.1t = 4.2 + 0.9 10.1t = 4.2 + 0.9 Combine like terms: 4.2 + 0.9 = 5.1 10.1t = 5.1 Divide each side by '10.1'. t = 0.504950495 Simplifying t = 0.504950495
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