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Simplifying 3 + 5(5t + 1) = 8t Reorder the terms: 3 + 5(1 + 5t) = 8t 3 + (1 * 5 + 5t * 5) = 8t 3 + (5 + 25t) = 8t Combine like terms: 3 + 5 = 8 8 + 25t = 8t Solving 8 + 25t = 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 8 + 25t + -8t = 8t + -8t Combine like terms: 25t + -8t = 17t 8 + 17t = 8t + -8t Combine like terms: 8t + -8t = 0 8 + 17t = 0 Add '-8' to each side of the equation. 8 + -8 + 17t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 17t = 0 + -8 17t = 0 + -8 Combine like terms: 0 + -8 = -8 17t = -8 Divide each side by '17'. t = -0.4705882353 Simplifying t = -0.4705882353
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