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Simplifying 3 + 5(5t + 1) + 8 = 0 Reorder the terms: 3 + 5(1 + 5t) + 8 = 0 3 + (1 * 5 + 5t * 5) + 8 = 0 3 + (5 + 25t) + 8 = 0 Reorder the terms: 3 + 5 + 8 + 25t = 0 Combine like terms: 3 + 5 = 8 8 + 8 + 25t = 0 Combine like terms: 8 + 8 = 16 16 + 25t = 0 Solving 16 + 25t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 25t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 25t = 0 + -16 25t = 0 + -16 Combine like terms: 0 + -16 = -16 25t = -16 Divide each side by '25'. t = -0.64 Simplifying t = -0.64
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