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Simplifying 1.3t + 4.6 = 2.5t + -0.3 + -1.4t Reorder the terms: 4.6 + 1.3t = 2.5t + -0.3 + -1.4t Reorder the terms: 4.6 + 1.3t = -0.3 + 2.5t + -1.4t Combine like terms: 2.5t + -1.4t = 1.1t 4.6 + 1.3t = -0.3 + 1.1t Solving 4.6 + 1.3t = -0.3 + 1.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.1t' to each side of the equation. 4.6 + 1.3t + -1.1t = -0.3 + 1.1t + -1.1t Combine like terms: 1.3t + -1.1t = 0.2t 4.6 + 0.2t = -0.3 + 1.1t + -1.1t Combine like terms: 1.1t + -1.1t = 0.0 4.6 + 0.2t = -0.3 + 0.0 4.6 + 0.2t = -0.3 Add '-4.6' to each side of the equation. 4.6 + -4.6 + 0.2t = -0.3 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + 0.2t = -0.3 + -4.6 0.2t = -0.3 + -4.6 Combine like terms: -0.3 + -4.6 = -4.9 0.2t = -4.9 Divide each side by '0.2'. t = -24.5 Simplifying t = -24.5

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