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Simplifying 1.3t + 3(t + 8.5) = 37.5 Reorder the terms: 1.3t + 3(8.5 + t) = 37.5 1.3t + (8.5 * 3 + t * 3) = 37.5 1.3t + (25.5 + 3t) = 37.5 Reorder the terms: 25.5 + 1.3t + 3t = 37.5 Combine like terms: 1.3t + 3t = 4.3t 25.5 + 4.3t = 37.5 Solving 25.5 + 4.3t = 37.5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25.5' to each side of the equation. 25.5 + -25.5 + 4.3t = 37.5 + -25.5 Combine like terms: 25.5 + -25.5 = 0.0 0.0 + 4.3t = 37.5 + -25.5 4.3t = 37.5 + -25.5 Combine like terms: 37.5 + -25.5 = 12 4.3t = 12 Divide each side by '4.3'. t = 2.790697674 Simplifying t = 2.790697674
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