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Simplifying 13t + 5(1 + -5t) = 0 13t + (1 * 5 + -5t * 5) = 0 13t + (5 + -25t) = 0 Reorder the terms: 5 + 13t + -25t = 0 Combine like terms: 13t + -25t = -12t 5 + -12t = 0 Solving 5 + -12t = 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 + -12t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12t = 0 + -5 -12t = 0 + -5 Combine like terms: 0 + -5 = -5 -12t = -5 Divide each side by '-12'. t = 0.4166666667 Simplifying t = 0.4166666667
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