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