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Simplifying 10(2t + 5) + -8t = 56 Reorder the terms: 10(5 + 2t) + -8t = 56 (5 * 10 + 2t * 10) + -8t = 56 (50 + 20t) + -8t = 56 Combine like terms: 20t + -8t = 12t 50 + 12t = 56 Solving 50 + 12t = 56 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 12t = 56 + -50 Combine like terms: 50 + -50 = 0 0 + 12t = 56 + -50 12t = 56 + -50 Combine like terms: 56 + -50 = 6 12t = 6 Divide each side by '12'. t = 0.5 Simplifying t = 0.5
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