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Simplifying 8t + 5(1 + -2t) = 0 8t + (1 * 5 + -2t * 5) = 0 8t + (5 + -10t) = 0 Reorder the terms: 5 + 8t + -10t = 0 Combine like terms: 8t + -10t = -2t 5 + -2t = 0 Solving 5 + -2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 0 + -5 -2t = 0 + -5 Combine like terms: 0 + -5 = -5 -2t = -5 Divide each side by '-2'. t = 2.5 Simplifying t = 2.5
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