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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 = -2 -2 + 25t + -8t = 0 Combine like terms: 25t + -8t = 17t -2 + 17t = 0 Solving -2 + 17t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 17t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 17t = 0 + 2 17t = 0 + 2 Combine like terms: 0 + 2 = 2 17t = 2 Divide each side by '17'. t = 0.1176470588 Simplifying t = 0.1176470588
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