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Simplifying 1.4(t + 3) + 1.8t = 29.64 Reorder the terms: 1.4(3 + t) + 1.8t = 29.64 (3 * 1.4 + t * 1.4) + 1.8t = 29.64 (4.2 + 1.4t) + 1.8t = 29.64 Combine like terms: 1.4t + 1.8t = 3.2t 4.2 + 3.2t = 29.64 Solving 4.2 + 3.2t = 29.64 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.2' to each side of the equation. 4.2 + -4.2 + 3.2t = 29.64 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 3.2t = 29.64 + -4.2 3.2t = 29.64 + -4.2 Combine like terms: 29.64 + -4.2 = 25.44 3.2t = 25.44 Divide each side by '3.2'. t = 7.95 Simplifying t = 7.95
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