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Simplifying 5t + 4(1 + -2t) = 0 5t + (1 * 4 + -2t * 4) = 0 5t + (4 + -8t) = 0 Reorder the terms: 4 + 5t + -8t = 0 Combine like terms: 5t + -8t = -3t 4 + -3t = 0 Solving 4 + -3t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = 0 + -4 -3t = 0 + -4 Combine like terms: 0 + -4 = -4 -3t = -4 Divide each side by '-3'. t = 1.333333333 Simplifying t = 1.333333333
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