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Simplifying 3 + 5(5t + 1) + 8t = 0 Reorder the terms: 3 + 5(1 + 5t) + 8t = 0 3 + (1 * 5 + 5t * 5) + 8t = 0 3 + (5 + 25t) + 8t = 0 Combine like terms: 3 + 5 = 8 8 + 25t + 8t = 0 Combine like terms: 25t + 8t = 33t 8 + 33t = 0 Solving 8 + 33t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 33t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 33t = 0 + -8 33t = 0 + -8 Combine like terms: 0 + -8 = -8 33t = -8 Divide each side by '33'. t = -0.2424242424 Simplifying t = -0.2424242424
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