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Simplifying 3 + 5(t + 1) + 8t = 0 Reorder the terms: 3 + 5(1 + t) + 8t = 0 3 + (1 * 5 + t * 5) + 8t = 0 3 + (5 + 5t) + 8t = 0 Combine like terms: 3 + 5 = 8 8 + 5t + 8t = 0 Combine like terms: 5t + 8t = 13t 8 + 13t = 0 Solving 8 + 13t = 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 + 13t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 13t = 0 + -8 13t = 0 + -8 Combine like terms: 0 + -8 = -8 13t = -8 Divide each side by '13'. t = -0.6153846154 Simplifying t = -0.6153846154
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